AP ECET 2026 Ceramic Technology Question Paper: Download Answer Key with Solution PDF

In the matrix \[ A=\begin{bmatrix} 1 & 2 & 3 \\
4 & 5 & 6 \\
7 & 4 & 9 \end{bmatrix}, \]
the minor \(M_{23}\) of the element \(a_{23}\) is:

• (A) \(10\)
• (B) \(-10\)
• (C) \(-6\)
• (D) \(6\)

If \[ \left|\begin{matrix} 2x & 5 \\
8 & x \end{matrix}\right| = \left|\begin{matrix} 6 & -2 \\
7 & 3 \end{matrix}\right|, \]
then the value of \(x\) is:

• (A) \(3\)
• (B) \(\pm 6\)
• (C) \(-3\)
• (D) \(\pm 2\)

If \(A\) is a square matrix of order \(3\) and \(|A|=5\), then the value of \(\left|2A^T\right|\) is:

• (A) \(-10\)
• (B) \(10\)
• (C) \(40\)
• (D) \(-40\)

Which of the following systems has non-trivial solution?

• (A) \(AX=0,\ |A|=4\)
• (B) \(AX=0,\ |A|=-4\)
• (C) \(AX=0,\ |A|=0\)
• (D) \(AX=B,\ |B|=5\)

If \[ \begin{bmatrix} x+y & 2 \\
1 & x-y \end{bmatrix} = \begin{bmatrix} 4 & 2 \\
1 & 2 \end{bmatrix}, \]
then the values of \(x\) and \(y\) are:

• (A) \(x=3,\ y=1\)
• (B) \(x=1,\ y=3\)
• (C) \(x=2,\ y=3\)
• (D) \(x=1,\ y=1\)

If \[ \frac{x+4}{(x+2)^2(x+3)} = \frac{A}{(x+2)^2} + \frac{B}{x+2} + \frac{C}{x+3}, \]
then \(A+B+C=\)

• (A) \(2\)
• (B) \(1\)
• (C) \(-1\)
• (D) \(3\)

If \[ \frac{x}{(x-1)^2(x+2)} = \frac{A}{(x-1)^2} + \frac{2}{9(x-1)} + \frac{B}{x+2}, \]
then \(A+B=\)

• (A) \(\frac{1}{3}\)
• (B) \(\frac{1}{9}\)
• (C) \(-\frac{1}{3}\)
• (D) \(\frac{2}{3}\)

If \(\tan A=\frac{1}{2}\) and \(\tan B=\frac{1}{3}\), then \(A+B=\)

• (A) \(30°\)
• (B) \(45°\)
• (C) \(60°\)
• (D) \(90°\)

If \(2\sin^{-1}x=\sin^{-1}k\), then \(k=\)

• (A) \(2x\sqrt{1-x^2}\)
• (B) \(2x\)
• (C) \(x^2\)
• (D) \(1-2x^2\)

If \[ \sin^{-1}\frac{5}{x}+\sin^{-1}\frac{12}{x}=\frac{\pi}{2}, \]
then \(x=\)

• (A) \(12\)
• (B) \(7\)
• (C) \(13\)
• (D) \(15\)

The number of solutions of the equation \( \sin 2x-\cos 2x=2-\sin 2x \) lying in the interval \( [0,\pi] \) is

• (A) \(0\)
• (B) \(1\)
• (C) \(2\)
• (D) \(3\)

If \( \tan\theta+\sec\theta=\sqrt{3} \), then the principal value of \( \theta \) in \( [0,2\pi] \) is

• (A) \( \frac{\pi}{4} \)
• (B) \( \frac{\pi}{6} \)
• (C) \( \frac{\pi}{2} \)
• (D) \( \frac{2\pi}{3} \)

\[ \frac{\tan x-1+\sec x}{\tan x-\sec x+1} = \]

• (A) \( \frac{1-\sin x}{\cos x} \)
• (B) \( \frac{1+\sin x}{\cos x} \)
• (C) \( \frac{1+\cos x}{\sin x} \)
• (D) \( \frac{1-\cos x}{\sin x} \)

\[ \tan 9°-\tan 27°-\tan 63°+\tan 81°= \]

• (A) \(2\)
• (B) \(1\)
• (C) \(4\)
• (D) \(3\)

If \( \cos\theta=\frac{1}{2}\left(a+\frac{1}{a}\right) \), then \(4\cos^3\theta-3\cos\theta=\)

• (A) \(a^3+\frac{1}{a^3}\)
• (B) \(\frac{1}{2}\left(a^3+\frac{1}{a^3}\right)\)
• (C) \(\frac{1}{4}\left(a^3+\frac{1}{a^3}\right)\)
• (D) \(\frac{1}{3}\left(a^3+\frac{1}{a^3}\right)\)

\[ \cos 6° \sin 24° \cos 72°= \]

• (A) \(\frac{1}{4}\)
• (B) \(-\frac{1}{8}\)
• (C) \(-\frac{1}{4}\)
• (D) \(\frac{1}{8}\)

\[ \tan^{-1}1+\tan^{-1}2+\tan^{-1}3= \]

• (A) \(\frac{3\pi}{4}\)
• (B) \(\frac{\pi}{2}\)
• (C) \(\pi\)
• (D) \(2\pi\)

If \( z_1=4i^{40}-5i^{35}+6i^{17}+2,\ z_2=-1+i \), then \( |z_1+z_2|= \)

• (A) \(13\)
• (B) \(5\)
• (C) \(15\)
• (D) \(12\)

The conjugate of \( (1+i)^3 \) is

• (A) \(1+2i\)
• (B) \(-2+2i\)
• (C) \(-2-2i\)
• (D) \(1-2i\)

The equation of a circle whose Centre is \((-3,2)\) and area is \(176\) units is

• (A) \(x^2+y^2+6x-4y-36=0\)
• (B) \(x^2+y^2+6x-4y-43=0\)
• (C) \(x^2+y^2-6x+4y-36=0\)
• (D) \(x^2+y^2-6x+4y-43=0\)

The equation of a circle whose Centre is \((2,-1)\) and which passes through the point \((3,6)\) is

• (A) \(x^2+y^2+4x+2y-45=0\)
• (B) \(x^2+y^2-2x+2y-50=0\)
• (C) \(x^2+y^2+2x+2y-50=0\)
• (D) \(x^2+y^2-4x+2y-45=0\)

If the parabola \(y^2=4ax\) passes through the point \((3,2)\), then the length of its latus rectum is:

• (A) \(\frac{4}{3}\)
• (B) \(4\)
• (C) \(\frac{2}{3}\)
• (D) \(\frac{1}{3}\)

The line \(y=mx+2\) is a tangent to the parabola \(y^2=8x\) if

• (A) \(m=1\)
• (B) \(m=2\)
• (C) \(m=3\)
• (D) \(m=4\)

The length of the latus rectum and eccentricity of the Hyperbola \(9x^2-16y^2=144\) are

• (A) \(\left(\frac{9}{4},\frac{5}{4}\right)\)
• (B) \(\left(\frac{9}{2},\frac{5}{4}\right)\)
• (C) \(\left(\frac{9}{2},\frac{5}{2}\right)\)
• (D) \(\left(9,\frac{5}{2}\right)\)

The equation of the ellipse with foci at \((\pm 3,0)\) and the eccentricity as \(1/3\) is:

• (A) \(\frac{x^2}{81}+\frac{y^2}{72}=1\)
• (B) \(\frac{x^2}{9}+\frac{y^2}{8}=1\)
• (C) \(\frac{x^2}{8}+\frac{y^2}{9}=1\)
• (D) \(\frac{x^2}{3}+\frac{y^2}{2}=1\)

\[ \lim_{x\to\infty}\left(1+\frac{1}{x}\right)^x= \]

• (A) \(0\)
• (B) \(1\)
• (C) \(e\)
• (D) \(\infty\)

\[ \lim_{x\to 0}\frac{\sqrt{1+x}-1}{x}= \]

• (A) \(0\)
• (B) \(\frac{1}{2}\)
• (C) \(1\)
• (D) \(\infty\)

If \[ y=\frac{a\cos x+b\sin x+c}{\sin x}, \]
then \[ \frac{dy}{dx}= \]

• (A) \(-a cosec^2x-c cosec x\cot x\)
• (B) \(-a\)
• (C) \(-a cosec^2x+b\sec^2x+c cosec x\cot x\)
• (D) \(a cosec^2x-c cosec x\cot x\)

If \[ y=\sqrt{x+\sqrt{x+\sqrt{x+\cdots\infty}}}, \]
then \[ \frac{dy}{dx}= \]

• (A) \(\frac{1}{2y}\)
• (B) \(\frac{1}{1-2y}\)
• (C) \(\frac{1}{2(1-2y)}\)
• (D) \(\frac{-1}{1-2y}\)

Slope of the tangent to the curve \[ y=9x^2+7x^4+5 \]
at the point \(x=1\) is

• (A) \(28\)
• (B) \(16\)
• (C) \(46\)
• (D) \(\frac{1}{46}\)

If \[ f(x)= \begin{cases} 4(5^x), & x<0
8k+x, & x\geq 0 \end{cases} \]
then \(f'(-1)=\)

• (A) \(\frac{2}{5}\log 5\)
• (B) \(\frac{4}{5}\log 5\)
• (C) \(\frac{3}{5}\log 5\)
• (D) \(20\log 5\)

If \[ 2^x+2^y=2^{x+y}, \]
then \[ \frac{dy}{dx}= \]

• (A) \(1-2^y\)
• (B) \(1-\frac{1}{2^y}\)
• (C) \(1+2^{-y}\)
• (D) \(1+2^y\)

If \[ y+\sin^{-1}(1-x^2)=e^x, \]
then \[ \frac{dy}{dx}= \]

• (A) \(e^x-\frac{2}{\sqrt{2-x^2}}\)
• (B) \(e^x-\frac{2}{\sqrt{2+x^2}}\)
• (C) \(e^x+\frac{2}{\sqrt{2-x^2}}\)
• (D) \(e^x+\frac{2}{\sqrt{2+x^2}}\)

If \(y(x)=x^x,\ x>0\), then \[ y''(2)-2y'(2)= \]

• (A) \(4\log_e2-2\)
• (B) \(4\log_e2+2\)
• (C) \(4(\log_e2)^2+2\)
• (D) \(4(\log_e2)^2-2\)

If \[ z=x^2y^3+e^y\sin x, \]
then \[ \frac{\partial^2 z}{\partial x\partial y}= \]

• (A) \(6xy^2+e^y\cos x\)
• (B) \(3x^2y^2+e^y\sin x\)
• (C) \(3x^2y^2+e^y\cos x\)
• (D) \(6xy^2+e^y\sin x\)

\[ \int \frac{dx}{\sin^2x\cos^2x}= \]

• (A) \(\tan x+\cot x+c\)
• (B) \(\tan x-\cot x+c\)
• (C) \(\tan x\cot x+c\)
• (D) \(\tan x+\sec x+c\)

\[ \int \frac{dx}{\sqrt{x+1}+\sqrt{x}}= \]

• (A) \(\frac{2}{3}\left[(x+1)^{\frac{3}{2}}-x^{\frac{3}{2}}\right]+c\)
• (B) \(\frac{2}{3}\left[(x+1)^{\frac{3}{2}}+x^{\frac{3}{2}}\right]+c\)
• (C) \(\frac{3}{2}\left[(x+1)^{\frac{3}{2}}-x^{\frac{3}{2}}\right]+c\)
• (D) \(\frac{3}{2}\left[(x+1)^{\frac{3}{2}}+x^{\frac{3}{2}}\right]+c\)

If \[ \int \frac{\sin^3x+\cos^3x}{\sin^2x\cos^2x}\,dx = A\sec x+B cosec x+c, \]
then \((A,B)\) are

• (A) \((1,1)\)
• (B) \((-1,-1)\)
• (C) \((1,-1)\)
• (D) \((-1,1)\)

The integral of \(f(x)=1+x^2+x^4\) with respect to \(x^2\) is

• (A) \(x+\frac{x^3}{3}+\frac{x^5}{5}+C\)
• (B) \(\frac{x^2}{3}+\frac{x^4}{5}+C\)
• (C) \(x^2+\frac{x^4}{4}+\frac{x^6}{6}+C\)
• (D) \(x^2+\frac{x^4}{2}+\frac{x^6}{3}+C\)

\[ \int_0^{\frac{\pi}{2}} \frac{\sin^{100}x}{\sin^{100}x+\cos^{100}x}\,dx = \]

• (A) \(\frac{\pi}{2}\)
• (B) \(\frac{\pi}{4}\)
• (C) \(100\)
• (D) \(50\)

\[ \int_0^1 x\sqrt{x^2+4}\,dx= \]

• (A) \(\frac{1}{3}[5\sqrt{5}-4]\)
• (B) \(\frac{1}{2}[5\sqrt{5}-8]\)
• (C) \(\frac{1}{3}[5\sqrt{5}-8]\)
• (D) \(\frac{1}{3}[5\sqrt{5}+4]\)

\[ \int_{-\frac{\pi}{6}}^{\frac{\pi}{6}} \frac{\sin^5x\cos^3x}{x^4}\,dx= \]

• (A) \(\frac{\pi}{2}\)
• (B) \(\frac{\pi}{4}\)
• (C) \(0\)
• (D) \(1\)

\[ \int \frac{dx}{\sqrt{16-25x^2}}= \]

• (A) \(\frac{1}{5}\sin^{-1}\left(\frac{5x}{4}\right)+c\)
• (B) \(\sin^{-1}\left(\frac{5x}{4}\right)+c\)
• (C) \(\frac{1}{5}\sin^{-1}\left(\frac{x}{4}\right)+c\)
• (D) \(\frac{1}{5}\sin^{-1}\left(\frac{4x}{5}\right)+c\)

The solution of the differential equation \[ x\frac{dy}{dx}+y=0 \]
passing through the point \((1,1)\) is \(y=\)

• (A) \(x^2\)
• (B) \(x^{-1}\)
• (C) \(x^{-2}\)
• (D) \(x\)

Degree of the differential equation \[ y=x\frac{dy}{dx}+a\sqrt{1+\left(\frac{dy}{dx}\right)^2} \]
is

• (A) \(4\)
• (B) \(3\)
• (C) \(2\)
• (D) \(1\)

The order of the differential equation of all circles passing through the origin and having their centres on the \(x\)-axis is

• (A) \(4\)
• (B) \(3\)
• (C) \(2\)
• (D) \(1\)

If \(a\) and \(b\) are arbitrary constants, then the differential equation representing the family of curves \[ y=a\sin(x+b) \]
is

• (A) \(\frac{d^2y}{dx^2}-y=0\)
• (B) \(\frac{d^2y}{dx^2}+y=0\)
• (C) \(\frac{d^2y}{dx^2}-y^2=0\)
• (D) \(\frac{dy}{dx}-y=0\)

The differential equation is \[ \frac{dy}{dx}+\frac{y}{x}=0 \]
and \(y(1)=2\). Then the value of \(y(3)\) is

• (A) \(2\)
• (B) \(3\)
• (C) \(\frac{2}{3}\)
• (D) \(1\)

The general solution of the differential equation \[ \frac{dy}{dx}=e^{x-y}+x^2e^{-y} \]
is

• (A) \(e^{-y}=e^x+\frac{x^3}{3}+c\)
• (B) \(e^y=e^x+\frac{x^3}{3}+c\)
• (C) \(e^y=e^x+x^3+c\)
• (D) \(e^y=e^x+c\)

The differential equation is \[ \frac{dy}{dx}+y\tan x=\sec x \]
and \(y(0)=1\). Then the value of \(y\left(\frac{\pi}{4}\right)\) is

• (A) \(0\)
• (B) \(\sqrt{2}\)
• (C) \(1\)
• (D) \(-1\)

If \(P=Fv\sin\beta t\), where \(F\) is force and \(v\) is velocity, then the dimensions of \(P\) and \(\beta\) are

• (A) \(ML^2T^{-3},\ T^{-1}\)
• (B) \(MLT^{-2},\ T^{-2}\)
• (C) \(ML^2T^{-1},\ T^{-1}\)
• (D) \(ML^2T^3,\ T^{-2}\)

If velocity \(V\), energy \(E\), and time \(T\) are chosen as fundamental quantities, then dimensional representation of surface tension in this system will be

• (A) \(E^1V^{-2}T^{-2}\)
• (B) \(E^1V^{-1}T^{-2}\)
• (C) \(E^{-2}V^{-1}T^{-3}\)
• (D) \(E^1V^{-2}T^{-1}\)

If \(|\vec A+\vec B|=|\vec A-\vec B|\), then the angle between the two vectors \(\vec A\) and \(\vec B\) is

• (A) \(0°\)
• (B) \(180°\)
• (C) \(120°\)
• (D) \(90°c\)

An aeroplane is moving in a circular path with a speed of \(450\ kmph\). What is the change in velocity in half revolution?

• (A) \(0\ kmph\)
• (B) \(450\ kmph\)
• (C) \(250\ kmph\)
• (D) \(900\ kmph\)

The ratio between maximum and minimum values of two vectors \(\vec A\) and \(\vec B\), where \(A>B\), is \(4:1\). Then the ratio between the magnitudes of two vectors is

• (A) \(3:2\)
• (B) \(5:3\)
• (C) \(2:3\)
• (D) \(3:5\)

The magnitudes of three vectors \(\vec A,\vec B,\vec C\) are \(12,5\), and \(13\) units respectively and \(\vec A+\vec B=\vec C\). The angle between \(\vec A\) and \(\vec B\) is

• (A) \(0°\)
• (B) \(120°\)
• (C) \(90°\)
• (D) \(45°\)

A body falling from height \(H\) takes time \(T\) seconds to reach the ground. The time taken to cover the second half of height is

• (A) \(\frac{T}{\sqrt{2}}\)
• (B) \(\sqrt{2}T\)
• (C) \(\frac{\sqrt{2}-1}{\sqrt{2}}T\)
• (D) \(\frac{1}{\sqrt{2}-1}T\)

With what speed should a body be thrown upwards so that the distances covered in the \(5^{th}\) second and \(6^{th}\) second are equal?

• (A) \(75\ m/s\)
• (B) \(\sqrt{98}\ m/s\)
• (C) \(49\ m/s\)
• (D) \(19.8\ m/s\)

A body of mass \(1\ kg\) starts moving from rest under the action of a force which varies with displacement as \(F=2x+5\) in newtons. The work done by this force to displace the body from \(x=0\) to \(x=2\ m\) is

• (A) \(8\ J\)
• (B) \(10\ J\)
• (C) \(12\ J\)
• (D) \(14\ J\)

The potential energy of a particle is given by \(U(x)=20+(x-2)^2\), where \(U\) is in joules and \(x\) is in meters. The minimum potential energy and the position where it occurs are

• (A) \(20\ J at x=2\)
• (B) \(2\ J at x=20\ m\)
• (C) \(22\ J at x=2\ m\)
• (D) \(0\ J at x=2\ m\)

Power supplied to a particle of mass \(2\ kg\) varies with time as \[ P=\frac{3t^2}{2}\ watt, \]
where \(t\) is in seconds. If velocity at \(t=0\) is zero, the velocity at \(t=2\ s\) is

• (A) \(1\ m/s\)
• (B) \(2\ m/s\)
• (C) \(\sqrt{2}\ m/s\)
• (D) \(4\ m/s\)

A pump is used to deliver water at a certain rate from a given pipe. To obtain twice the volume of water from the same pipe in the same time, by what factor must the power of the motor pump be increased? Assume ideal conditions.

• (A) \(4\)
• (B) \(8\)
• (C) \(16\)
• (D) \(32\)

Two identical piano wires, when tuned to a fundamental frequency of \(400\ Hz\), produce no beats. One wire is then slightly tightened, and the beat frequency heard is \(2\ Hz\). What is the new fundamental frequency of the tightened wire?

• (A) \(398\ Hz\)
• (B) \(402\ Hz\)
• (C) \(404\ Hz\)
• (D) \(396\ Hz\)

A source of sound of frequency \(500\ Hz\) is moving towards an observer with velocity \(30\ m/s\). The speed of sound is \(330\ m/s\). The frequency heard by the observer will be

• (A) \(450\ Hz\)
• (B) \(550\ Hz\)
• (C) \(600\ Hz\)
• (D) \(500\ Hz\)

In acoustics, ``Noise'' is generally characterized by

• (A) Irregular and non-periodic vibrations
• (B) A constant pitch and frequency
• (C) Vibrations that follow a harmonic series
• (D) Regular and periodic vibrations

If the volume of a room is doubled and the total absorption is halved, the reverberation time will

• (A) Remain unchanged
• (B) Be doubled
• (C) Become four times
• (D) Be halved

In a closed hall of volume \(5000\ m^3\), the total absorption of the interior surfaces is \(200\) metric sabin. The reverberation time is

• (A) \(1\ s\)
• (B) \(2\ s\)
• (C) \(3\ s\)
• (D) \(4\ s\)

In an isothermal process

• (A) Internal energy of the system never remains constant
• (B) Total heat energy of the system remains constant
• (C) Volume of the system remains constant
• (D) Temperature of the system remains constant

If the pressure of an ideal gas is doubled and its absolute temperature is halved, the volume will become

• (A) \(\frac{1}{4}\) of initial volume
• (B) \(\frac{1}{2}\) initial volume
• (C) Same as initial volume
• (D) \(2\) times of initial volume

At constant temperature, the product \(PV\) is plotted against pressure \(P\) for an ideal gas. The graph obtained is

• (A) Straight line parallel to \(P\)-axis
• (B) Straight line with positive slope
• (C) Straight line through origin
• (D) Parabola

A bubble of an ideal gas rises from the bottom of a lake to the surface. At the bottom, the pressure is \(3\ atm\) and the temperature is \(7° C\). At the surface, the pressure is \(1\ atm\) and the temperature is \(27° C\). If the initial volume of the bubble was \(V_0\), what is its volume \(V\) at the surface?

• (A) \(3V_0\)
• (B) \(3.21V_0\)
• (C) \(0.9V_0\)
• (D) \(5.4V_0\)

The R.M.S. speed of oxygen molecules at \(27°C\) is \(v\). At \(927°C\), its R.M.S. speed will be

• (A) \(v\)
• (B) \(\frac{v}{2}\)
• (C) \(2v\)
• (D) \(4v\)

In a photoelectric experiment, the stopping potential for incident light of wavelength \(4000\ Å\) is \(2\ V\). If the wavelength is changed to \(3000\ Å\), the new stopping potential will be approximately \[ (Use h=4.14\times 10^{-15}\ eV s,\ c=3\times 10^8\ m/s) \]

• (A) \(2\ V\)
• (B) \(3.03\ V\)
• (C) \(4.14\ V\)
• (D) \(1.5\ V\)

In Optical Fiber communication, the signal is transmitted in the form of

• (A) Electrical pulses
• (B) Light pulses
• (C) Radio waves
• (D) Sound waves

In a superconducting ring, a persistent current has been flowing without decay for years. This is possible because

• (A) Resistance is exactly zero and flux is quantized
• (B) Resistance is very high and current is quantized
• (C) Magnetic field is zero and voltage is maximum
• (D) Temperature is very high and resistance is finite

The pair of orbitals with electron density maximum along the axes is

• (A) \(d_{xy}, d_{yz}\)
• (B) \(d_{z^2}, d_{x^2-y^2}\)
• (C) \(d_{xz}, d_{z^2}\)
• (D) \(d_{xz}, p_z\)

The angular momentum of an electron in an orbit \(X\) of hydrogen atom is \(\frac{2h}{\pi}\). Maximum number of orbitals possible in \(X\) is

• (A) \(4\)
• (B) \(9\)
• (C) \(16\)
• (D) \(25\)

The four quantum numbers for the electron in the outermost orbital of potassium \((Z=19)\) are

• (A) \(n=4,\ l=2,\ m=-1,\ s=+\frac{1}{2}\)
• (B) \(n=4,\ l=0,\ m=0,\ s=+\frac{1}{2}\)
• (C) \(n=3,\ l=0,\ m=1,\ s=+\frac{1}{2}\)
• (D) \(n=4,\ l=3,\ m=-2,\ s=-\frac{1}{2}\)

In which of the following, the number of bonding electrons and non-bonding electrons are in \(3:2\) ratio?

• (A) \(N_2\)
• (B) \(O_2\)
• (C) \(HCl\)
• (D) \(F_2\)

Which one of the following statements is not correct?

• (A) Ionic bond is non-directional bond
• (B) The maximum number of bond pairs between two atoms is \(3\)
• (C) Covalent compounds conduct electricity in fused state
• (D) Ionic compounds are generally soluble in water

\(12.6\ g\) of oxalic acid, \(H_2C_2O_4\cdot 2H_2O\) \((M.wt. 126)\), is present in \(1500\ mL\) of solution. The normality of that solution is

• (A) \(0.266\ N\)
• (B) \(0.133\ N\)
• (C) \(0.399\ N\)
• (D) \(0.430\ N\)

Which of the following has highest equivalent weight? Given: At.wt \(H=1,\ C=12,\ O=16,\ S=32,\ Na=23,\ Ca=40\)

• (A) Sulphuric acid
• (B) Sodium carbonate
• (C) Sodium sulphate
• (D) Calcium carbonate

Identify the pair of gases which have same number of molecules at S.T.P.?

• (A) \(11\ g of CO_2\) and \(14\ g of N_2\)
• (B) \(16\ g of O_3\) and \(16\ g of CH_4\)
• (C) \(5\ g of H_2\) and \(40\ g of CH_4\)
• (D) \(28\ g of N_2\) and \(22\ g of CO_2\)

\(100\ mL\) of \(0.1M\ HCl\) and \(100\ mL\) of \(0.05M\ H_2SO_4\) are mixed and the solution is diluted to \(2.0\ L\) by adding water. The pH of the resulting solution is

• (A) \(1\)
• (B) \(3\)
• (C) \(2\)
• (D) \(4\)

According to Arrhenius theory of acids and bases, which of the following is an example of Arrhenius base?

• (A) \(H_2SO_4\)
• (B) \(NH_3\)
• (C) \(NaOH\)
• (D) \(CaO\)

Electrolysis of an aqueous solution of \(Na_2SO_4\) between Pt electrodes liberates a gas \(X\) at anode and gas \(Y\) at cathode. \(X\) and \(Y\) respectively are

• (A) \(H_2,\ O_2\)
• (B) \(O_2,\ H_2\)
• (C) \(SO_2,\ H_2\)
• (D) \(H_2,\ SO_2\)

The wrong statement regarding Galvanic cell is

• (A) In this spontaneous redox reaction occurs
• (B) Salt bridge maintains electrical neutrality between the two solutions
• (C) Anode is represented by \((+)\) and cathode by \((-)\)
• (D) At anode oxidation occurs

Which of the following is a weak electrolyte?

• (A) \(H_2CO_3\)
• (B) \(H_2SO_4\)
• (C) \(NaCl\)
• (D) \(NaOH\)

The exhausted anion-exchange resin is regenerated with

• (A) dilute \(NaOH\) solution
• (B) dilute \(NaCl\) solution
• (C) dilute \(HCl\) solution
• (D) dilute \(Na_2SO_4\) solution

A sample of water is known to contain \(Mg(HCO_3)_2=7.3\ mg/L\), \(Ca(HCO_3)_2=8.1\ mg/L\), and \(27.2\ mg/L\) of \(CaSO_4\). The total hardness associated with water sample in ppm in equivalents of \(CaCO_3\) is \[ (At.wt. H=1,\ C=12,\ O=16,\ Mg=24,\ Ca=40,\ S=32) \]

• (A) \(20\)
• (B) \(25\)
• (C) \(30\)
• (D) \(40\)

The type of functional group associated with cation exchange resin is

• (A) \(-OH\)
• (B) \(-SO_3H\)
• (C) \(-NH_2\)
• (D) \(-CHO\)

Identify the incorrect statement about the corrosion.

• (A) In the composition type of galvanic cell, metal with lower standard reduction potential undergoes corrosion
• (B) In stress cell type of galvanic cell, corrosion occurs at the stressed area of the metal
• (C) The rate of corrosion is more, when the area of cathode is smaller
• (D) In concentration cell type of galvanic cell, the metal below the water level undergoes corrosion readily

In galvanised iron

• (A) Zn acts as anode and Fe acts as cathode
• (B) Zn acts as cathode and Fe acts as anode
• (C) Sn acts as anode and Fe acts as cathode
• (D) Sn acts as cathode and Fe acts as anode

During vulcanization of raw rubber, the chemical added to it is

• (A) Sulphur
• (B) Phosphorus
• (C) Iodine
• (D) Sodium

Which of the following is a natural polymer?

• (A) Cellulose
• (B) Teflon
• (C) Polyvinylchloride
• (D) Neoprene rubber

The structure of Buna-S polymer is

• (A) \(\left[-CH_2-CH=CH-CH_2-CH(C_6H_5)-CH_2-\right]_n\)
• (B) \(\left[-CH_2-CH=CH-CH_2-CH(CN)-CH_2-\right]_n\)
• (C) \(\left[-CH_2-C(Cl)=CH-CH_2-\right]_n\)
• (D) \(\left[-NH-CO-NH-CH_2-\right]_n\)

The polymer used in making gaskets and non-stick coating utensils is

• (A) Polyvinyl chloride
• (B) Polystyrene
• (C) Polytetrafluoroethylene
• (D) Polythene

Which of the following is not to be considered as a primary fuel?

• (A) Wood
• (B) Petroleum
• (C) Coke
• (D) Coal

The oxide of nitrogen responsible for depletion of ozone layer is

• (A) \(N_2O\)
• (B) \(NO_2\)
• (C) \(NO\)
• (D) \(N_2O_3\)

The BOD of highly polluted water is

• (A) \(17\ ppm\)
• (B) \(10\ ppm\)
• (C) \(8\ ppm\)
• (D) \(12\ ppm\)

__________ is a solid solution of Calcium carbonate and Magnesium carbonate.

• (A) Dolomite
• (B) Magnesite
• (C) Chromite
• (D) Calcite

The chemical formula of Fluorspar is

• (A) \(MgF_2\)
• (B) \(CaF_2\)
• (C) \(NaF_2\)
• (D) \(NiF_2\)

The total number of Polymorphic forms of Quartz is

• (A) \(2\)
• (B) \(1\)
• (C) \(4\)
• (D) \(3\)

__________ is a waste/by-product obtained during burning of pulverized coal in thermal power plants during the production of electricity.

• (A) Blast furnace slag
• (B) Flyash
• (C) Phosphogypsum
• (D) Redmud

The Soda feldspar is also known as

• (A) Orthoclase
• (B) Albite
• (C) Anorthite
• (D) Dickite

The chemical formula of Bauxite is

• (A) \(Al_2O_3\cdot H_2O\)
• (B) \(Al_2O_3\cdot 3H_2O\)
• (C) \(Al_2O_3\)
• (D) \(Al_2O_3\cdot 2H_2O\)

Which of the following is called Black Mica?

• (A) Muscovite
• (B) Biotite
• (C) Lepidolite
• (D) Vermiculite

The Hardness of Corundum on Moh's scale is

• (A) \(5\)
• (B) \(6\)
• (C) \(7\)
• (D) \(9\)

Which of the following is an example of an Igneous rock?

• (A) Sandstone
• (B) Marble
• (C) Basalt
• (D) Lime stone

Sedimentary rocks are formed mainly by

• (A) Melting and cooling
• (B) Heat and pressure
• (C) Deposition, compaction and cementation
• (D) Volcanic eruption

Which of the following is a Metamorphic rock?

• (A) Granite
• (B) Coal
• (C) Sandstone
• (D) Slate

The study of Minerals is called

• (A) Geology
• (B) Mineralogy
• (C) Petrology
• (D) Metallurgy

The Hardest mineral on the Moh's scale is

• (A) Quartz
• (B) Topaz
• (C) Corundum
• (D) Diamond

The color of a Mineral in powdered form is called

• (A) Luster
• (B) Streak
• (C) Texture
• (D) Shade

Which of the following is a Clay mineral?

• (A) Quartz
• (B) Gypsum
• (C) Kaolinite
• (D) Feldspar

Which of the following is not a Triaxial material in whiteware?

• (A) Clay
• (B) Feldspar
• (C) Quartz
• (D) Rutile

Which kiln is used for Firing of Ceramic tiles?

• (A) Tunnel kiln
• (B) Shaft kiln
• (C) Roller hearth kiln
• (D) Rotary kiln

The Vitrified tile has a Water absorption of

• (A) Less than \(5%\)
• (B) Less than \(10%\)
• (C) Less than \(0.5%\)
• (D) Less than \(15%\)

__________ is used to prepare granules from slip.

• (A) Spray dryer
• (B) Infrared moisture balance
• (C) Filter press
• (D) Pug mill

Which of the following is not Glaze application machine?

• (A) Water fall
• (B) The Bell
• (C) Rotating Disc
• (D) Digital printing machine

Which product belongs to Heavy clay ware?

• (A) Bone china
• (B) Electrical porcelain
• (C) Sewer pipe
• (D) Sanitary ware

Quartz in White ware mainly acts as

• (A) Plasticizer
• (B) Flux
• (C) Colorant
• (D) Filler

Spark plugs are made up of

• (A) Alumina
• (B) Bone china
• (C) Cordierite
• (D) Soft Porcelain

Ability of Electrical insulator to resist the electrical breakdown is called

• (A) Dielectric constant
• (B) Dielectric Strength
• (C) Polarization
• (D) Loss factor

Which of the following forming technique is used to make ceramic rods and tubes?

• (A) Slip casting
• (B) Pressing
• (C) Extrusion
• (D) Injection molding

Black core defect in whiteware occurs due to

• (A) Excess Silica
• (B) Trapped carbon
• (C) Over vitrification
• (D) Rapid cooling

__________ is used to test Crazing resistance

• (A) Autoclave
• (B) Impact tester
• (C) Penetration test
• (D) Pot mill

Which of the following is not an Opacifier?

• (A) \(As_2O_3\)
• (B) \(Sb_2O_3\)
• (C) \(ZnO\)
• (D) \(Al_2O_3\)

Which of the following coloring agent is used to impart Blue color in Glaze?

• (A) \(NiO\)
• (B) \(CoO\)
• (C) \(MnO\)
• (D) \(ZnO\)

Dental Porcelain contains high percentage of

• (A) Feldspar
• (B) Quartz
• (C) Clay
• (D) Cordierite

The Modulus of Rupture (MOR) test for Tiles measures

• (A) Hardness
• (B) Plasticity
• (C) Flexural strength
• (D) Abrasion resistance

Bone ash content in Bone China is in the range of

• (A) \(10-20%\)
• (B) \(25-35%\)
• (C) \(40-50%\)
• (D) \(60-70%\)

The firing temperature of Porcelain is typically

• (A) \(900-1000° C\)
• (B) \(1000-1100° C\)
• (C) \(1200-1400° C\)
• (D) Above \(1600° C\)

Which White ware has highest firing temperature?

• (A) Earthen ware
• (B) Porcelain
• (C) Stone ware
• (D) Terracotta

__________ is the one of the Phase present in fired white ware products

• (A) Mullite
• (B) Rutile
• (C) Wollastonite
• (D) Cordierite

The Fusion temperature of Super refractory material is above

• (A) \(1000° C\)
• (B) \(1500° C\)
• (C) \(2000° C\)
• (D) \(1200° C\)

__________ is used to prepare Silica refractories

• (A) Quartz
• (B) Quartzite
• (C) Sandstone
• (D) Flint

Which of the following is a Basic refractory?

• (A) Silica
• (B) Fireclay
• (C) Magnesite
• (D) Alumina

Pyrometric Cone Equivalent (PCE) test measures

• (A) Porosity
• (B) Strength
• (C) Refractoriness
• (D) Thermal shock

Alumina content in Fireclay refractories is

• (A) \(10-20%\)
• (B) \(25-45%\)
• (C) \(60-80%\)
• (D) \(90-100%\)

Bonding Agent used in making Silica bricks is

• (A) Chromia powder
• (B) Zircon flour
• (C) Hydrated lime
• (D) Hydrated alumina

The chemical nature of Chromite refractory is

• (A) Neutral
• (B) Acidic
• (C) Basic
• (D) Super

Which Refractories are used for Crown of Glass melting furnace?

• (A) Fire clay
• (B) Chromite
• (C) Magnesite
• (D) Silica

Dolomite refractory contains

• (A) \(MgO\) only
• (B) \(CaO\) only
• (C) \(CaO\) \& \(MgO\)
• (D) \(Al_2O_3\)

The important characteristic of insulating refractory is

• (A) High density
• (B) High porosity
• (C) High strength
• (D) Metallic nature

Castables are a type of

• (A) Shaped refractory
• (B) Monolithic refractory
• (C) Insulating brick
• (D) Formed refractory

Refractoriness under load test is used to determine

• (A) Thermal conductivity
• (B) The temperature at which a brick collapse under load
• (C) Resistance to chemical corrosion
• (D) Abrasion resistance

The Alumina content in High Alumina refractory should be more than

• (A) \(10%\)
• (B) \(25%\)
• (C) \(15%\)
• (D) \(45%\)

Cermet's are combination of

• (A) Ceramics \& glass
• (B) Ceramics \& metal
• (C) Cement \& Metal
• (D) Carbon and Metals

Which Refractories are used in Regenerator of Glass tank furnace?

• (A) Carbon blocks
• (B) Dolomite
• (C) Magnesite
• (D) Silicon carbide

__________ refractories are used in construction of Coke oven wall

• (A) Silica
• (B) Fire clay
• (C) Magnesite
• (D) Chromite

__________ refractories are used in Hearth of Blast furnace

• (A) Carbon
• (B) Dolomite
• (C) Magnesite
• (D) Chromite

The specific gravity of Alumina is

• (A) \(3.0\)
• (B) \(4.0\)
• (C) \(2.5\)
• (D) \(5.0\)

The presence of __________ in chromite refractory leads to bursting

• (A) Lead oxide
• (B) Potassium oxide
• (C) Iron oxide
• (D) Magnesium oxide

Silica bricks have high thermal shock resistance above

• (A) \(600° C\)
• (B) \(400° C\)
• (C) \(1000° C\)
• (D) \(1200° C\)

Surface alkalinity of Glass is measured by using

• (A) Autoclave
• (B) Impact tester
• (C) Flame photometer
• (D) Dilatometer

Which of the following fabrication method is used to make Wide neck glass bottles?

• (A) Pressing
• (B) Blow \& Blow
• (C) Press \& Blow
• (D) Drawing

Which raw material is the most important mineral for supplying \(CaO\) in glass production?

• (A) Soda ash
• (B) Sand
• (C) Pearl ash
• (D) Lime stone

\(B_2O_3\) is a

• (A) Network former
• (B) Network modifier
• (C) Intermittent oxide
• (D) Stabilizing oxide

Which impurity in Silica sand must be avoided for glass making?

• (A) Sodium chloride
• (B) Calcium oxide
• (C) Potassium oxide
• (D) Iron oxide

`E-glass' is mainly used as

• (A) Bottles and jars for food storage
• (B) Reinforcement fibers for plastics \& printed circuit boards
• (C) Architectural windows
• (D) Lead crystal vases

Making of glass bubble free is called

• (A) Oxidizing
• (B) Reducing
• (C) Refining
• (D) Firing

Uncontrolled crystallization of glass is called

• (A) Melting
• (B) Refining
• (C) Heat conditioning
• (D) Devitrification

Crooke's glass contains

• (A) Cerium oxide
• (B) Lead oxide
• (C) Potassium oxide
• (D) Sodium oxide

Which of the following process is absent in glass manufacturing?

• (A) Annealing
• (B) Forming
• (C) Sintering
• (D) Melting

Glass ceramics contain

• (A) Fully crystalline structure
• (B) Amorphous matrix with crystalline phases
• (C) Only silica
• (D) Only alumina

Lead glass is used for

• (A) Insulation
• (B) Tubes
• (C) Windows
• (D) Optical lenses

The main purpose of annealing is to

• (A) Increase optical clarity
• (B) Relieve stresses
• (C) Harden the surface
• (D) Add color

Borosilicate glass is widely used in

• (A) Containers
• (B) Laboratory ware
• (C) Lenses
• (D) Fiber glass

Which of the following, imparts Green color in glass?

• (A) Cupric oxide
• (B) Magnesium oxide
• (C) Selenium
• (D) Chromium oxide

The crown glass is an

• (A) Optical glass
• (B) Radiation shield glass
• (C) Tempered glass
• (D) Safety glass

Regenerators are associated with

• (A) Roller kiln
• (B) Pot furnace
• (C) Tank furnaces
• (D) Shuttle kiln

The Danner process is a

• (A) Continuous process for drawing fibers
• (B) Continuous process for drawing sheets
• (C) Continuous process for drawing rods \& tubes
• (D) Container glass manufacturing process

Which of the following is the first automatic glass bottle making machine?

• (A) IS Machine
• (B) Owen's machine
• (C) O'Neill's machine
• (D) Twin table machine

Marved glass is called

• (A) Parison
• (B) Crany
• (C) Puffed glass
• (D) Preform

Which of the following phase is responsible for Strength of Cement?

• (A) \(C_2S\)
• (B) \(C_3A\)
• (C) \(C_3S\)
• (D) \(C_4AF\)

What is the % of \(CaO\) in Portland Cement?

• (A) \(40-45\)
• (B) \(70-75\)
• (C) \(50-55\)
• (D) \(60-65\)

Gypsum is added to cement to:

• (A) Accelerate setting
• (B) Retard setting
• (C) Increase strength
• (D) Reduce heat of hydration

In Portland Pozzolana Cement, pozzolanic material reacts with

• (A) Water
• (B) Lime
• (C) Gypsum
• (D) Sand

__________ is used to measure initial setting time of cement

• (A) Autoclave
• (B) Vicat apparatus
• (C) Sieve
• (D) Lechatelier apparatus

Heating of coal in absence of air is called

• (A) Carbonization
• (B) Calcination
• (C) Refining
• (D) Clinkerization

Which of the following is used to analyze Flue gas?

• (A) Bomb calorimeter
• (B) Orsat apparatus
• (C) Infrared balance
• (D) Spectrophotometer

Which of the following is Renewable Energy Sources?

• (A) Coal
• (B) Crude oil
• (C) Natural gas
• (D) Wind energy

A thermocouple works on the Principle of

• (A) Hall effect
• (B) Peltier effect
• (C) Seebeck effect
• (D) Ferroelectric effect

Which of the following is Periodic kiln?

• (A) Scove kiln
• (B) Tunnel kiln
• (C) Rotary kiln
• (D) Roller hearth kiln

Which of the following conduct electricity but undergo internal charge polarization that allows for storage of an electrical charge?

• (A) Capacitor
• (B) Resistor
• (C) Diodes
• (D) Transistors

Which of the following is a Semiconductor?

• (A) \(Cu\)
• (B) \(Fe\)
• (C) \(Si\)
• (D) \(Au\)

The charge carriers in P-type semiconductor is

• (A) Electrons
• (B) Electron holes
• (C) Cations
• (D) Anions

__________ have zero electrical resistance

• (A) Semiconductors
• (B) Conductors
• (C) Insulators
• (D) Super conductors

Which of the following material has highest Dielectric constant?

• (A) Rubber
• (B) \(Al_2O_3\)
• (C) Glass
• (D) \(BaTiO_3\)

Acheson process is used to prepare

• (A) \(SiC\)
• (B) \(Al_2O_3\)
• (C) \(Y_2O_3\)
• (D) \(ZrO_2\)

Thin sheets used for substrates for electronics are produced by

• (A) Extrusion
• (B) Injection moulding
• (C) Isostatic pressing
• (D) Tape casting

Bayer process is used to produce

• (A) \(TiO_2\)
• (B) \(Al_2O_3\)
• (C) \(ZrO_2\)
• (D) \(SiO_2\)

Advanced Ceramics are also known as

• (A) Traditional ceramics
• (B) Whiteware
• (C) Structural ceramics
• (D) Technical ceramics

Which of the following is a non-oxide ceramic?

• (A) Alumina
• (B) Zirconia
• (C) Silicon nitride
• (D) Magnesia

A Cation vacancy and an anion vacancy in a crystal of the type \(AB\) is called

• (A) Frenkel defect
• (B) Schottky defect
• (C) Vacancy defect
• (D) Interstitial defect

Burger's vector is perpendicular to

• (A) Edge dislocation
• (B) Screw dislocation
• (C) Frenkel defect
• (D) Schottky defect

The eutectic point in the \(SiO_2-Na_2O\) phase diagram occurs at

• (A) \(1200° C\)
• (B) \(1590° C\)
• (C) \(1390° C\)
• (D) \(790° C\)

A Covalent bond is formed due to

• (A) Transfer of electrons
• (B) Sharing of electrons
• (C) Attraction between ions
• (D) Presence of free electrons

Diffusion in Solids occurs mainly due to

• (A) Gravitational force
• (B) Electric field
• (C) Concentration gradient
• (D) Magnetic field