VITEEE 2017 Question Paper is available for download here. VITEEE 2017 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 2017 Question Paper with Solution PDF using the link below.
VITEEE 2017 Question Paper with Solution PDF
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A 5000 kg rocket is set for vertical firing. The exhaust speed is 800 m/s. To give an initial upward acceleration of 20 m/s\(^2\), the amount of gas ejected per second to supply the needed thrust will be (Take \(g = 10 \, m/s^2\))
The power dissipated in the circuit shown in the figure is 30 Watts. The value of \( R \) is
If the kinetic energy of a moving particle is \( E \), then the de-Broglie wavelength is
Two bodies A and B having masses in the ratio of 3 : 1 possess the same kinetic energy. The ratio of linear momentum of B to A is
In which sequence the radioactive radiations are emitted in the following nuclear reaction? \[ Z^{X}A \rightarrow Z+1Y^{A} \rightarrow Z-1K^{A-4} \]
Which of the following does not support the wave nature of light?
Six identical conducting rods are joined as shown in the figure. Points A and D are maintained at 200\(^\circ C\) and 20\(^\circ C\) respectively. The temperature of junction B will be
A hydrogen atom is in ground state. Then to get six lines in emission spectrum, wavelength of incident radiation should be
A conducting circular loop of radius \( r \) carries a constant current \( i \). It is placed in a uniform magnetic field \( \vec{B} \) such that \( \vec{B} \) is perpendicular to the plane of the loop. The magnetic force acting on the loop is
A vessel of depth 2d cm is half-filled with a liquid of refractive index \( \mu_1 \) and the upper half with a liquid of refractive index \( \mu_2 \). The apparent depth of the vessel seen perpendicularly is
A smooth sphere of mass \( M \) moving with velocity \( u \) directly collides elastically with another sphere of mass \( m \) at rest. After collision, their final velocities are \( V \) and \( v \) respectively. The value of \( v \) is
Two capacitors \( C_1 \) and \( C_2 \) in a circuit are joined as shown in the figure. The potentials of points A and B are \( V_1 \) and \( V_2 \), respectively. Then the potential of point D will be
Light of wavelength 500 nm is incident on a metal with work function \( 2.28 \, eV \). The de Broglie wavelength of the emitted electron is:
Kerosene oil rises up in a wick of a lantern because of
The current in a coil of \( L = 40 \, mH \) is to be increased uniformly from 1 A to 11 A in 4 milli sec. The induced e.m.f. will be
An alternating voltage of 220 V, 50 Hz frequency is applied across a capacitor of capacitance 2 μF. The impedance of the circuit is
A hollow insulated conduction sphere is given a positive charge of 10 μC. What will be the electric field at the centre of the sphere if its radius is 2 meters?
Two mercury drops (each of radius \( r \)) merge to form a bigger drop. The surface energy of the bigger drop is, if \( T \) is the surface tension, is
Resistances 1 \( \Omega \), 2 \( \Omega \), and 3 \( \Omega \) are connected to form a triangle. If a 1.5 V cell of negligible internal resistance is connected across the 3 \( \Omega \) resistor, the current flowing through this resistor will be
A current carrying coil is subjected to a uniform magnetic field. The coil will orient so that its plane becomes
An electron makes a transition from an excited state to the ground state of a hydrogen-like atom. Then
An A.C. source is connected to a resistive circuit. Which of the following is true?
A milli voltmeter of 25 milli volt range is to be converted into an ammeter of 25 ampere range. The value (in ohms) of necessary shunt will be
In Young's double-slit experiment, the intensity of light at a point on the screen where the path difference is \( \frac{\lambda}{4} \), will be
Which of the following is a self-adjusting force?
Which of the following are not electromagnetic waves?
Graph of specific heat at constant volume for a monatomic gas is
A charge \( +q \) is at a distance \( L/2 \) above a square of side \( L \). Then what is the flux linked with the surface?
The potential energy of a system increases if work is done
Two capacitors when connected in series have a capacitance of 3 μF, and when connected in parallel have a capacitance of 16 μF. Their individual capacities are
Resonance frequency of LCR series a.c. circuit is \( f_0 \). Now the capacitance is made 4 times, then the new resonance frequency will become
If the light is polarised by reflection, then the angle between reflected and refracted light is
The velocity of efflux of a liquid through an orifice in the bottom of the tank does not depend upon
On a smooth plane surface (figure) two block A and B are accelerated by up by applying a force 15 N. If mass of B is twice that of A, the force on B is
A potentiometer wire, 10 m long, has a resistance of 400 \( \Omega \). It is connected in series with a resistance box and a 2 V storage cell. If the potential gradient along the wire 0.1 m is V/cm, the resistance unplugged in the box is
A prism has a refracting angle of 60°. When placed in the position of minimum deviation, it produces a deviation of 30°. The angle of incidence is
Transfer characteristics (output voltage \( V_o \) vs input voltage \( V_i \)) for a base biased transistor in CE configuration is as shown in the figure. For using the transistor as a switch, it is used
A bar magnet of magnetic moment \( M \), is placed in a magnetic field of induction \( B \). The torque exerted on it is
Schottky defect in crystals is observed when
The cyclobutyl methylene with nitrous acid gives
The exothermic formation of \( ClF_3 \) is represented by the equation: \[ Cl_2(g) + 3F_2(g) \rightarrow 2ClF_3(g); \Delta H = -329 \, kJ \]
Which of the following will increase the quantity of \( ClF_3 \) in an equilibrium mixture of \( Cl_2 \), \( F_2 \), and \( ClF_3 \)?
For the reaction \[ 2NO_2(g) \rightarrow 2NO(g) + O_2(g); K_c = 1.8 \times 10^{-4} at 184^\circ C \]
When \( K_p \) and \( K_c \) are compared at 184°C, it is found that
What is X in the following reaction?
A compound \( M X \) has cubic close packing (ccp) arrangement of \( X \). Its unit cell structure is shown below. The empirical formula of the compound is
What is Z in the following sequence of reactions? \[ Phenol \xrightarrow{Zn dust} CH_6 \xrightarrow{Alkaline KMnO_4} Z \]
Which of the following oxy-acids has the maximum number of hydrogens directly attached to phosphorus?
The number of geometrical isomers of \( CH_3 CH = CH - CH - CH_2 \) is
If \( a \) stands for the edge length of the cubic systems: simple cubic, body centered cubic and face centered cubic, then the ratio of radii of the spheres in these systems will be respectively
For a first order reaction \( A \rightarrow P \), the temperature \( (T) \) dependent rate constant \( k \) was found to follow the equation \[ \log k = -\frac{2000}{T} + 6.0 \]
The pre-exponential factor \( A \) and the activation energy \( E_a \) respectively, are
1-Propanol and 2-propanol can be distinguished by
Which group contains coloured ions out of
The half life period of a first order chemical reaction is 6.93 minutes. The time required for the completion of 99% of the chemical reaction will be
A mixture of benzaldehyde and formaldehyde on heating with aqueous NaOH solution gives
In the following reaction sequence, the correct structures of F, F, and G are
Standard entropies of \( X_2 \), \( Y_2 \), and \( X Y_3 \) are 60, 30, and 30 J mol\(^{-1}\) K\(^{-1}\) respectively. For the reaction \[ \frac{1}{2} X_2 + Y_2 \rightarrow X Y_3, \, \Delta H = -30 \, kJ \]
at equilibrium, the temperature should be
An organic compound (A) on reduction gives compound (B). (B) on treatment with CHCl\(_3\) and alcoholic KOH gives N-methyl aniline. The compound A is
The standard reduction potential for \( Cu^{2+} / Cu \) is +0.34 V. Calculate the reduction potential at pH = 14 for the above couple. \[ K_{sp} (Cu(OH)_2) = 1 \times 10^{-19} \]
A substance C\(_4\)H\(_8\)O yields on oxidation a compound, C\(_4\)H\(_8\)O\(\) which gives an oxime and a positive iodoform test. The original substance on treatment with conc. H\(_2\)SO\(_4\) gives C\(_4\)H\(_8\). The structure of the compound is
The emf of a particular voltaic cell with the cell reaction \[ Hg_2^{2+} + H_2 \rightleftharpoons 2 Hg + 2 H^+ \]
is 0.65 V. The maximum electrical work of this cell when 0.5 g of \( H_2 \) is consumed is
The number of aldol reaction(s) that occurs in the given transformation is:
\[ CH_3CHO + 4CH_3CHO \]
Which of the following is not intermediate in the acid catalysed reaction of benzaldehyde with 2 equivalent of methanol to give acetal?
Iron crystallizes in several modifications. At about 911°C, the bcc ‘a’ form undergoes a transition to the ‘\(\gamma\)’ form. If the distance between the two nearest neighbors is the same in the two forms at the transition temperature, the ratio of the density of iron in \( ferrite (\rho_1) \) to that of iron in \( austenite (\rho_2) \) at the transition temperature is
The half-life of the first order reaction \[ CH_3CHO (g) \rightarrow CH_4 (g) + CO (g) \]
If initial pressure of \( CH_3CHO \) is 80 mm Hg and the total pressure at the end of 20 minutes is 120 mm Hg
A compound is soluble in conc. H\(_2\)SO\(_4\). It does not decolourise bromine in carbon tetrachloride but is oxidised by chromic anhydride in aqueous sulphuric acid within two seconds, turning orange solution to blue, green and then opaque. The original compound is
The values of Planck's constant is 6.63 × 10\(^{-34}\) J·s. The velocity of light is 3 × 10\(^{8}\) m/s. Which value is closest to the wavelength in nanometers of a quantum of light with frequency of \( 8 \times 10^{15} \, s^{-1} \)?
The number of stereoisomers possible for a compound of the molecular formula \( CH_3 CH = CH - CH - CH_2 \) is:
The optically active tartaric acid is named as D - (+) tartaric acid because it has a positive
Consider the reaction: \[ N_2 (g) + 3 H_2 (g) \rightarrow 2 NH_3 (g) \]
carried out at constant temperature and pressure. If \( \Delta H \) and \( \Delta U \) are the enthalpy and internal energy changes for the reaction, which of the following expressions is true?
What is D in the following sequence of reactions?
Knowing that the chemistry of lanthanoids (Ln) is dominated by its +3 oxidation state, which of the following statements is incorrect?
What is the R and S configuration for each stereogenic center in this sugar from top to bottom?
Saponification of coconut oil yields glycerol and palmitic acid.
A certain reaction is non spontaneous at 298 K. The entropy change during the reaction is 121 J K\(^{-1}\). Is the reaction endothermic or exothermic? The minimum value of \( \Delta H \) for the reaction is
\( p \)-cresol reacts with chloroform in alkaline medium to give the compound A which adds hydrogen cyanide to form the compound B. The latter on acidic hydrolysis gives chiral carboxylic acid. The structure of the carboxylic acid is
Which of the following has maximum number of lone pairs associated with Xe?
Which of the following statements is not true regarding \( (+) \) Lactose?
If one strand of DNA has the sequence \[ ATGCCTGA, the sequence in the complimentary strand would be \]
The starting reagents needed to make the azo compound shown below
\( \sin\left( \sin 5 \right) = x^2 - 4x \) holds if
A value of \( c \) for which conclusion of Mean Value Theorem holds for the function \( f(x) = \log x \) on the interval [1, 3] is
Negation of the proposition: If we control population growth, we prosper is
The equation \( z^2 + (2 - 3i)z + (2 + 3i) = 4 = 0 \) represents a circle of radius
The function \( f(x) = \sin x - kx - c \), where \( k \) and \( c \) are constants, decreases always when
Equation \( \frac{1}{8} \sin^3 x = \cos 6x \) represents
The acceleration of a sphere falling through a liquid is \( (30 - 3y) \, cm/s^2 \) where \( y \) is speed in cm/s. The maximum possible velocity of the sphere and the time when it is achieved are
A straight line parallel to the line \( 2x + y - 5 = 0 \) is also a tangent to the curve \( y^2 = 4x + 5 \). Then the point of contact is
Value of \[ \int_0^{\pi/2} \frac{\sqrt{\sin x}}{\sin x + \cos x} \, dx \]
The range of the function \[ f(x) = \frac{1}{2 - \cos 3x} \]
is
The area bounded by \( y = |x| \), \( y = 0 \) and \( |x| = \frac{1}{2} \) will be:
The value of \( x \) obtained from the equation
\[ \frac{x + \alpha}{\gamma} = \frac{x + \beta}{\alpha} = \frac{x + \gamma}{\beta} \]
will be
The solution of the differential equation \[ \log x \frac{dy}{dx} + x = \sin 2x \]
is
\[ \lim_{x \to \infty} \frac{x^2}{3x - 3} = ? \]
If \( \vec{a} \times \vec{b} \) and \( \vec{c} \times \vec{d} \) are perpendicular, then which of the following is always true?
Let A be the centre of the circle \( x^2 + y^2 - 2x - 4y - 20 = 0 \), and B(1, 7) and D(4, -2) are points on the circle then, if tangents are drawn at B and D, which meet at C, then area of quadrilateral ABCD is
\[ \int \left[ f'(x) \left( g(x) \right)^2 \right] dx \]
is equal to:
If \( x = -\frac{7}{3} \), then \( x^4 \) is
The difference between greatest and least value of \[ f(x) = 2 \sin x + \sin 2x, \, x \in \left[ 0, \frac{3\pi}{2} \right] \]
is
A and B are two independent witnesses (i.e., there is no collision between them) in a case. The probability that A will speak the truth is \( x \) and the probability that B will speak the truth is \( y \). A and B agree in a certain statement. The probability that the statement is true is
A and B are events such that \( P(A \cup B) = 3/4 \), \( P(A) = 1/4 \), and \( P(A \cap B) = 2/3 \). Then the probability that \( P(A \cap B) \) is
The line which passes through the origin and intersects the two lines \[ \frac{x - 1}{2} = \frac{y - 3}{4} = \frac{z - 14}{4} \]
is
If \( u_n = \int_0^{\frac{\pi}{4}} \tan \theta d\theta \), then \( u_{n+2} \) is:
Ten different letters of an alphabet are given, words with five letters are formed from these given letters. Then the number of words which have at least one letter repeated is
The area bounded by \( f(x) = x^2, 0 \leq x \leq 1 \), and \( g(x) = x + 2, 1 \leq x \leq 2 \) and x-axis is
The condition that the line \( \frac{x}{p} + \frac{y}{q} = 1 \) be normal to the parabola \( y^2 = 4ax \) is
A random variable \( X \) has the probability distribution
\[ P(X) = \{ 0.15, 0.23, 0.12, 0.10, 0.20, 0.07, 0.06, 0.08 \} \]
For the events \( E = \{ X is a prime number \} \) and \( F = \{ X < 4 \} \), then \( P(E \cup F) \) is
The value of \( \tan^{-1} \left( \frac{1}{2} \right) + \tan^{-1} \left( \frac{1}{3} \right) \) is
The parabola having its focus at (3, 2) and directrix along the y-axis has its vertex at
The rank of the matrix \[ \begin{pmatrix} 1 & 2 & 5
2 & 4 & 4
3 & 6 & 6 \end{pmatrix} \]
is
If \( f(x) = \cos x + 1 \) and \( f'(x) = 2 \cos x \), then \[ \int_0^\frac{\pi}{2} f(x)dx \]
is equal to
The distance of the point \( (1, -2, 3) \) from the plane \( x - y + z = 5 \) measured parallel to the line \[ \frac{x}{2} = \frac{y}{3} = \frac{z - 1}{6} \]
is
The tangent lines to the curve \( y^2 = 4ax \) at points where \( x = a \), are
If the eccentricity of the hyperbola \[ x^2 - y^2 \cos^2 \alpha = 25 \]
is \( \sqrt{5} \), then the eccentricity of the ellipse \[ x^2 \cos^2 \alpha + y^2 = 5 \]
is equal to:
The conditional \( (P \land Q) \Rightarrow P \) is
The set of points of discontinuity of the function \[ f(x) = \sin (2 \sin x) \sin^2 x \]
is given by
The volume \( V \) and depth \( x \) of water in a vessel are connected by the relation \[ V = 5x - \frac{x^2}{6} \]
and the volume of water is increasing, at the rate of 5 cm\(^3\)/sec, when \( x = 2 \) cm. The rate at which the depth of water is increasing is
If vectors \( \mathbf{i} + \mathbf{j} + \mathbf{k} \) and \( \mathbf{i} + \mathbf{j} + \mathbf{k} \) are coplanar, then find
If matrix \( A = \begin{pmatrix} 3 & 2 & 4
1 & 2 & -1 \end{pmatrix} \) and
The angle between a pair of tangents drawn from a point \( T \) to the curve \[ x^2 + y^2 + 4x - 6y - 9 = 3x + 1 \]
is
Directions (Qs. 121-123): Study the paragraph and answer the questions that follow:
At this stage of civilisation, when many nations are brought into close and vital contact for good and evil, it is essential, as never before, that their gross ignorance of one another should be diminished, that they should begin to understand a little of one another's historical experience and resulting mentality. It is the fault of the English to expect the people of other countries to react as they do, to political and international situations. Our genuine goodwill and good intentions are often brought to nothing, because we expect other people to be like us. This would be corrected if we knew the history, not necessarily in detail but in broad outlines, of the social and political conditions which have given to each nation its present character.
Question 121:
The character of a nation is the result of its
According to the author, Mentality* of a nation is mainly product of its
The need for a greater understanding between nations
Directions (Q. 124):
In the question below a sentence is given, a part of which is printed in bold and underlined. This part may contain a grammatical error. Each sentence is followed by phrases a, b, c, and d. Find out which phrase should replace the phrase given in bold/underline to correct the error, if there is any, to make the sentence grammatically meaningful and correct.
Question 124:
There are many number of skilled writers who can develop content and create marketing materials with a keen eye to using proven methods, but also to develop new and innovative techniques.
Choose the best pronunciation of the word, Sorbet from the following options.
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