VITEEE 2019 Question Paper is available for download here. VITEEE 2019 Question Paper includes 40 questions from Mathematics/Biology, 35 questions from Physics, 35 questions from Chemistry, 5 questions from English, 10 questions from Aptitude to be attempted in 150 minutes. Candidates can download the VITEEE 2019 Question Paper with Solution PDF using the link below.
VITEEE 2019 Question Paper with Solution PDF
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The electric resistance of a certain wire of iron is R. If its length and radius are both doubled, then:
Two thin lenses are in contact and the focal length of the combination is 80 cm. If the focal length of one lens is 20 cm, then the power of the other lens will be:
If the kinetic energy of a free electron doubles, its de-Broglie wavelength changes by the factor:
Radioactive element decays to form a stable nuclide, then the rate of decay of reactant is shown by:
The ratio of the energies of the hydrogen atom in its first to second excited states is:
A point charge \( q \) is rotated along a circle in the electric field generated by another point charge \( Q \). The work done by the electric field on the rotating charge in one complete revolution is:
The half-life period and the mean life period of a radioactive element are denoted respectively by \( T_h \) and \( T_m \). Then:
In a common base mode of a transistor, the collector current is 5.488 mA for an emitter current of 5.60 mA. The value of the base current amplification factor \( \beta \) will be:
The magnetic field at a distance \( r \) from a long wire carrying current is 0.4 tesla. The magnetic field at a distance \( 2r \) is:
The velocity-time graph of a body moving in a straight line is shown in the figure. Find the displacement and distance travelled by the body in 10 seconds.
An electric dipole is kept in a uniform electric field. It experiences:
A person swims in a river aiming to reach exactly on the opposite point on the bank of a river. His speed of swimming is 0.5 m/s at an angle of 120° with the direction of flow of water. The speed of water is:
A rain drop of radius 0.3 mm has a terminal velocity in air is 1 m/s. The viscosity of air is \( 8 \times 10^{-5} \) poise. The viscous force on it is:
Consider a pair of insulating blocks with thermal resistances \( R_1 \) and \( R_2 \) as shown in the figure. The temperature \( \theta \) at the boundary between the two blocks is:
A mass of 0.5 kg moving with a speed of 1.5 m/s on a horizontal smooth surface, collides with a nearly weightless spring of force constant \( k = 50 \, N/m \). The maximum compression of the spring would be:
A solid sphere is rotating in free space. If the radius of the sphere is increased keeping the mass the same, which one of the following will not be affected?
The Young’s modulus of a perfectly rigid body is:
The figure below shows currents in a part of electric circuit. The current \( i \) is:
In an electromagnetic wave:
A particle covers half of the circle of radius \( r \). Then the displacement and distance of the particle are respectively:
A metal ring is held horizontally and a bar magnet is dropped through the ring with its length along the axis of the ring. The acceleration of the falling magnet is:
A particle having a mass 0.5 kg is projected under gravity with a speed of 98 m/s at an angle of \( 60^\circ \). The magnitude of the change in momentum (in N-sec) of the particle after 10 seconds is:
For a series RLC circuit \( R = X_L = 2X_C \). The impedance of the circuit and phase difference between \( V \) and \( I \) respectively will be:
A man holding a rifle (mass of person and rifle together is 100 kg) stands on a smooth surface and fires 10 shots horizontally in 5 sec. Each bullet has a mass 10 g with a muzzle velocity of 800 m/s. The velocity which the rifle man attains after firing 10 shots will be:
Escape velocity when a body of mass \( m \) is thrown vertically from the surface of the earth is \( v \). What will be the escape velocity of another body of mass 4m thrown vertically?
A solid cylinder of mass \( m \) and radius \( R \) rolls down an inclined plane without slipping. The speed of its C.M. when it reaches the bottom is:
A block of mass 5 kg resting on a horizontal surface is connected by a cord, passing over a light frictionless pulley to a hanging block of mass 5 kg. The coefficient of kinetic friction between the block and the surface is 0.5. Tension in the cord is:
A and B are two wires. The radius of A is twice that of B. They are stretched by the same load. Then the stress on B is:
A liquid is allowed to flow into a tube of truncated cone shape. Identify the correct statement from the following.
A planet revolves in an elliptical orbit around the sun. The semi-major and semi-minor axes are \( a \) and \( b \). Then the square of the time period, \( T \), is directly proportional to:
The surface of a metal is illuminated with the light of 400 nm. The kinetic energy of the ejected photoelectrons was found to be 1.68 eV. The work function of the metal is: (hc = 1240 eV·nm)
When a system is taken from state i to state f along the path iaf, it is found that \( Q = 50 \, cal \) and \( W = 20 \, cal \). Along the path ibf, \( Q = 36 \, cal \). W along the path ibf is:
If the differential equation for a simple harmonic motion is \( \frac{d^2 y}{dt^2} + 2y = 0 \), the time-period of the motion is:
Tube A has both ends open while tube B has one end closed, otherwise they are identical. The ratio of fundamental frequency of tube A and B is:
The work done by an uniform magnetic field, on a moving charge is:
In Young’s double slit experimental setup, if the wavelength alone is doubled, the bandwidth \( \beta \) becomes:
In Young’s double slit experiment, the central point on the screen is:
The work done in ergs for the reversible expansion of one mole of an ideal gas from a volume of 10 litres to 20 litres at 25°C is:
A Fischer projection of (2R, 3S)-2,3-butanediol is:
Arrange the following particles in increasing order of values of \( e/m \) ratio: electron (e), proton (p), neutron (n) and \( \alpha \)-particle (\( \alpha \)):
Acidified potassium dichromate is treated with hydrogen sulfide. In the reaction, the oxidation number of chromium:
For the reaction \( N_2 + 3H_2 \rightarrow 2NH_3 \), if \( \frac{\Delta [NH_3]}{\Delta t} = 2 \times 10^{-4} \, mol L^{-1} s^{-1} \), then the value of \( \frac{\Delta [H_2]}{\Delta t} \) would be:
The value of \( K_c \) for the reaction: \[ A + 3B \rightleftharpoons 2C at 400^\circ C is 0.5. Calculate the value of K_p. \]
Tautomerism is net exhibited by:
The electrode potentials for \[ Cu^{2+}(aq) + e^- \rightleftharpoons Cu(s) \]
and \[ Cu^{2+}(aq) + e^- \rightleftharpoons Cu(aq) \]
are +0.15 V and +0.50 V, respectively. The value of \( E^\circ_{Cu^{2+}/Cu} \) will be:
Deep sea divers use to respire a mixture of:
The wavelengths of two photons are 2000Å and 4000Å, respectively. What is the ratio of their energies?
Ethylene glycol, on oxidation with periodic acid, gives:
In a closed insulated container, a liquid is stirred with a paddle to increase its temperature. In this process, which of the following is true?
At low pressure, the van der Waals equation is reduced to:
Copper sulfate solution reacts with KCN to give:
For the reaction \[ H_2 (g) + \frac{1}{2} O_2 (g) \rightarrow H_2 O(\ell), \Delta H = -285.8 \, kJ/mol^{-1} \]
The value of free energy change at 27°C for the reaction is:
A reaction involving \( K_2 Cr_2 O_7 \) is treated with hydrogen sulfide. The oxidation number of chromium changes from +3 to +6, +2, or remains unchanged. Which of the following correctly reflects the change in oxidation number?
Bragg's law is given by which of the following equation?
The reaction \( 2NO(g) + O_2(g) \rightarrow 2NO_2(g) \) is of first order. If volume of the reaction vessel is reduced to \( \frac{1}{3} \) times, the rate of reaction would be:
Which are the starting materials for the preparation of the compound shown in the figure?
Which element gives the maximum number of oxides?
An organic compound 'A' has the molecular formula \( C_3H_6O \), it undergoes iodoform test. When saturated with dil. HCl it gives 'B' of molecular formula \( C_9H_{14}O \). A and B respectively are:
View Solution
The reaction involves the substitution of bromine by a hydroxyl group to form hydroxy methyl benzene.
Final Answer: \[ \boxed{Hydroxy methyl benzene} \] Quick Tip: In reactions with phenyl compounds, the hydroxyl group typically replaces a halogen in electrophilic substitution reactions.
Calculate the entropy change in melting 1 mole of ice at 273 K, \( \Delta H_f^o = 6.025 \, kJ/mol \):
The rate constant is doubled when temperature increases from 27°C to 37°C. Activation energy in kJ is:
In the reaction, \( C_6H_5OH + NaOH \rightarrow \) (B) \( \rightarrow (C) \), the compound (C) is:
Starting from propanoic acid, the following reactions were carried out: \[ SOCl_2 \rightarrow X \quad NH_3 \rightarrow Y \quad Br_2 + KOH \rightarrow Z \]
What is the compound Z?
Calculate the energy needed to convert three moles of sodium atoms in the gaseous state to sodium ions. The ionization energy of sodium is 495 kJ/mol:
The uncertainty in position and velocity of a particle are \( 10^{-10} \, m \) and \( 5.27 \times 10^{-24} \, ms^{-1} \) respectively. Calculate the mass of the particle is (h = \( 6.625 \times 10^{-34} \, Js \)):
Choose the complex which is paramagnetic:
Phosphine is generally prepared in the laboratory:
In a hydrogen-oxygen fuel cell, combustion of hydrogen occurs to:
Among the following molecules, those having the same number of lone pairs on Xe are:
(i) \( XeO_3 \) (ii) \( XeOF_4 \) (iii) \( XeF_6 \)
An alkene of molecular formula \( C_9H_{18} \) on ozonolysis gives \( 2 \)-dimethylpropanal and \( 2 \)-butanone, then the alkene is:
Glucose when heated with \( CH_3OH \) in presence of dry HCl gas gives \( \alpha \)- and \( \beta \)-methyl glucosides because it contains:
When acetylene is passed into methanol at 160-200°C in the presence of a small amount of potassium methoxide under pressure, the following is formed:
Which compound can exist in a dipolar (zwitter) state?
A coordination complex compound of cobalt has the molecular formula containing five ammonia molecules, one nitro group and two chlorine atoms for one cobalt atom. One mole of this compound produces three mole ions in an aqueous solution; on reacting with excess of \( AgNO_3 \), \( AgCl \) is precipitated. The ionic formula for this complex would be:
An endothermic reaction with high activation energy for the forward reaction is given by the diagram:
The volume of a closed reaction vessel in which the following equilibrium reaction occurs is halved: \[ 2SO_2(g) + O_2(g) \rightleftharpoons 2SO_3(g) \]
As a result,
If \( \tan \theta = \sqrt{n} \) for some non-square natural number \( n \), then sec \( 2\theta \) is:
If \( z = x + iy \), \( z^{1/3} = a - ib \), then \( \frac{x}{a} = \frac{y}{b} = k \) is equal to:
If the coordinates at one end of a diameter of the circle \( x^2 + y^2 - 8x - 4y + c = 0 \) are \( (-3, -2) \), then the coordinates at the other end are:
The system of linear equations: \[ x + y + z = 0, \quad 2x + y - z = 0, \quad 3x + 2y = 0 \]
has:
If \( \omega = \frac{-1 + \sqrt{3}i}{2} \), then \( (3 + \omega + 3\omega^2) \) is:
If the lines \( 3x - 4y + 4 = 0 \) and \( 6x - 8y - 7 = 0 \) are tangents to a circle, then radius of the circle is:
The position vector of A and B are: \[ 2\hat{i} + 2\hat{j} + \hat{k} \quad and \quad 2\hat{i} + 4\hat{j} + 4\hat{k} \]
The length of the internal bisector of \( \triangle AOB \) is:
If \( y = \tan^{-1} \left( \frac{4x}{1+5x^2} \right) + \tan^{-1} \left( \frac{2 + 3x}{3 - 2x} \right) \), then \( \frac{dy}{dx} = \):
If \[ A = \begin{bmatrix} 0 & c & -b
-c & 0 & a
b & -a & 0 \end{bmatrix}, \quad B = \begin{bmatrix} a^2 & ab & ac
ab & b^2 & bc
ac & bc & c^2 \end{bmatrix}, \]
then \( AB \) is equal to:
A circle has radius 3 and its center lies on the line \( y = x - 1 \). The equation of the circle, if it passes through (7, 3), is:
At how many points between the interval \( (-\infty, \infty) \) is the function \( f(x) = \sin x \) is not differentiable?
If vector equation of the line \( \frac{x-2}{2} = \frac{2y-5}{-3} = z+1 \), is \[ \mathbf{r} = \left( 2\hat{i} + \frac{5}{2} \hat{j} - k \right) + \lambda \left( 2\hat{i} - \frac{3}{2} \hat{j} + p \hat{k} \right) \]
then \( p \) is equal to:
Evaluate \( \lim_{x \to 2} \frac{\sqrt{x+7} - 3}{\sqrt{x-3} - 2} \):
The radius of a right circular cylinder increases at the rate of 0.1 cm/min, and the height decreases at the rate of 0.2 cm/min. The rate of change of the volume of the cylinder, in cm\(^3\)/min, when the radius is 2 cm and the height is 3 cm is:
If \( a \), \( b \), and \( c \) are in A.P., then the value of: \[ |x + 1| + |x + 2| + |x + 3| + |x + b| + |x + c| \]
The solution of \( \sin x = \frac{-\sqrt{3}}{2} \) is:
The equation \( y^2 + 3 = 2(2x + y) \) represents a parabola with the vertex at:
If \( \sin y = x \sin(a + y) \), then \( \frac{dy}{dx} \) is equal to:
Evaluate \[ \int \left( 27e^{9x} + e^{12x} \right)^{1/3} dx \]
The area under the curve \( y = | \cos x - \sin x | \), where \( 0 \leq x \leq \frac{\pi}{2} \), and the x-axis is:
The conic represented by \[ x = 2(\cos t + \sin t), \quad y = 5(\cos t - \sin t) \]
is
If
\[(\frac{a}{b})^2 + (\frac{b}{a})^2 = 676, \quad |\mathbf{b}| = 2, \quad \text{then} |\mathbf{a}| \] is equal to:
The equation of the plane which bisects the angle between the planes \[ 3x - 6y + 2z + 5 = 0 \quad and \quad 4x - 12y + 32z - 3 = 0 \]
which contains the origin is:
A wire 34 cm long is to be bent in the form of a quadrilateral of which each angle is 90°. What is the maximum area which can be enclosed inside the quadrilateral?
If \[ \int \frac{\sin x}{\sin(x - \alpha)} dx = Ax + B \log \sin(x - \alpha) + C, \]
then the value of \( (A, B) \) is:
The equation of the chord of the hyperbola \( 25x^2 - 16y^2 = 400 \) that is bisected at point \( (5, 3) \) is:
Value of \[ \int_{\frac{\pi}{6}}^{\frac{\pi}{3}} \frac{1}{1 + \sqrt{\cot x}} dx \]
The domain of the function \[ f(x) = \sqrt{\frac{1}{|x-2| - (x-2)}} \]
is:
Six identical coins are arranged in a row. The number of ways in which the number of tails is equal to the number of heads is:
Let \( f \) be the function defined by \[ f(x) = \begin{cases} x^2 - 1, & x \neq 1
x^2 - 2|x-1|^{-1}, & x = 1 \end{cases} \]
The function is continuous at:
If \( f(x) = x^3 + bx^2 + cx + d \) and \( 0 < b^2 < c \), then in \( (-\infty, \infty) \),
The solution of the differential equation \[ \left(1 + x \sqrt{x^2 + y^2}\right) dx + \left( \sqrt{x^2 + y^2} - 1 \right) y dy = 0 \]
The integrating factor of \[ \frac{dy}{dx} - y = x^4 - 3x \]
is:
It is given that the events \( A \) and \( B \) are such that \[ P(A) = \frac{1}{4}, \quad P(A|B) = \frac{1}{2}, \quad P(B|A) = \frac{2}{3}. \]
Then \( P(B) \) is:
Let \( f: \mathbb{R} \to \mathbb{R}, g: \mathbb{R} \to \mathbb{R} \) be two functions such that \[ f(x) = 2x - 3, \quad g(x) = x^3 + 5. \]
The function \( (f \circ g)^{-1}(x) \) is equal to:
The inverse of the statement \[ (p \land \neg q) \to r \]
is:
The value of \( x \) in the interval \( [4, 9] \) at which the function \[ f(x) = \sqrt{x} \]
satisfies the mean value theorem is:
The value of the integral \[ \int_1^3 |x| + |x - 1| \, dx \]
is:
Let \( e^{1/c}, e^{b/c}, e^{1/a} \) are in A.P. with a common difference \( d \). Then \( e^{1/c}, e^{b/c}, e^{1/a} \) are in:
If the second term in the expansion \[ \left( \frac{3}{\sqrt{4a + \sqrt{a}}} \right)^n \]
is \( 14a^{5/2} \), then \( nC_3 \) is:
In the given sentence, find out which part has an error. The letter of that part will be your answer. If there is no error, mark (d) as your answer. \[ She is a brilliant teacher (a)/ but of her three children (b)/ neither has any merit. (c)/ No error. (d) \]
Find the synonym of the word IMPCCABLE:
Find the antonym of the word AMELIORATE:
Find the meaning of the given idiom:
A bolt from the blue
Read the passage and answer the given question: \[ There seems to be no chilly distance existing between the German students and the professor, but, on the contrary, a companionable intercourse, the opposite of chilliness and reserve. When the professor enters a beer hall in the evening where students are gathered together, these rise up and take off their caps and invite the old gentleman to sit with them and partake. He accepts, and the pleasant talk and the beer flow for an hour or two, and by and by the professor, properly charged and comfortable, gives a cordial good night, while the students stand bowing and uncovered, and then he moves on his happy way homeward with all his vast cargo of learning afloat in his hold. Nobody finds fault or feels outraged. No harm has been done. \]
What does the author mean by the phrase 'no chilly distance'?
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