VITEEE 2014 Question Paper is available for download here. VITEEE 2014 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 2014 Question Paper with Solution PDF using the link below.
VITEEE 2014 Question Paper with Solution PDF
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The amplification factor of a triode is 50. If the grid potential is decreased by 0.20 V, what increase in plate potential will keep the plate current unchanged?
If the nuclear fission piece of uranium of mass 5.0 g is lost, the energy obtained in kWh is?
An installation consisting of an electric motor driving a water pump lets 75 L of water per second to a height of 4.7 m. If the motor consumes a power of 5 kW, then the efficiency of the installation is?
A potential difference across the terminals of a battery is 50 V when 11 A current is drawn and 60 V, when 1 A current is drawn. The emf and the internal resistance of the battery are?
Beyond which frequency, the ionosphere bands any incident electromagnetic radiation but do not reflect it back towards the earth?
A metallic surface ejects electrons. When exposed to green light of intensity I but no photoelectrons are emitted, when exposed to yellow light of intensity 1 it is possible to eject electrons from the same surface by?
An electron moves at right angle to a magnetic field of \( 5 \times 10^{-2} \, T \) with a speed of \( 6 \times 10^{7} \, m/s \). If the specific charge of the electron is \( 1.7 \times 10^{11} \, C/kg \), the radius of the circular path will be?
A solenoid 30 cm long is made by winding 2000 loops of wire on an iron rod whose cross-section is \( 1.5 \, cm^2 \). If the relative permeability of the iron is 6000, what is the self-inductance of the solenoid?
A coil of resistance 10 Ω and an inductance 5 H is connected to a 100 V battery. The energy stored in the coil is?
A galvanometer has current range of 15 mA and voltage range 750 mV. To convert this galvanometer into an ammeter of range 25 A, the required shunt is?
The denial cell is balanced on 125 cm length of a potentiometer. Now, the cell is short-circuited by a resistance of 2Ω and the balance is obtained at 100 cm. The internal resistance of the denial cell is?
Four resistances of 10Ω, 60Ω, 100Ω, and 200Ω respectively taken in order are used to form a Wheatstone’s bridge. A 15V battery is connected to the ends of a 200Ω resistance, the current through it will be?
A circuit has a self-inductance of 1 H and carries a current of 2A. To prevent sparking, when the circuit is switched off, a capacitor which can withstand 400 V is used. The least capacitance of the capacitor connected across the switch must be equal to?
The output Y of the logic circuit shown in figure is best represented as?
A resistor of 6kΩ with tolerance 10% and another resistance of 4kΩ with tolerance 10% are connected in series. The tolerance of the combination is about?
If we add impurity to a metal, those atoms also deflect electrons. Therefore?
A proton and an α-particle, accelerated through the same potential difference, enter a region of uniform magnetic field normally. If the radius of the proton orbit is 10 cm, then the radius of α-particles is?
An ammeter and a voltmeter of resistance \( R \) are connected in series to an electric cell of negligible internal resistance. Their readings are A and V respectively. If another resistance \( R' \) is connected in parallel with the voltmeter, then?
A neutron is moving with velocity \( v \). It collides head on and elastically with an atom of mass number \( A \). If the initial kinetic energy of the neutron is \( E \), then how much kinetic energy will be retained by the neutron after reflection?
If a magnet is suspended at angle 30° to the magnet meridian, the dip of needle makes angle of 45° with the horizontal, the real dip is?
Which has more luminous efficiency?
The resistance of a germanium junction diode whose \( V-I \) is shown in figure is ( \( V_k = 0.3 \, V \))?
In hydrogen discharge tube, it is observed that through a given cross-section \( 3.31 \times 10^{15} \) electrons are moving from right to left and \( 3.12 \times 10^{8} \) protons are moving from left to right. The current in the discharge tube and its direction will be?
In a semiconductor, separation between conduction and valence band is of the order of?
If 1000 droplets each of potential 1 V and radius \( r \) are mixed to form a big drop, then the potential of the drop as compared to small droplets will be?
A Zener diode, having breakdown voltage equal to 15 V, is used in a voltage regulator circuit shown in figure. The current through the diode is?
The activity of a radioactive sample is measured as \( N_0 \) counts per minute at \( t = 0 \) and \( N \) counts per minute at \( t = 5 \) min. The time, in minutes, at which the activity reduces to half its value is?
If the electron in the hydrogen atom jumps from the third orbit to second orbit, the wavelength of the emitted radiation in terms of Rydberg constant is?
Silver has a work function of 4.7 eV. When ultraviolet light of wavelength 100 nm is incident on it, a potential of 7.7 V is required to stop the photoelectrons from reaching the collector plate. How much potential will be required to stop photoelectrons when light of wavelength 200 nm is incident on it?
If the distance of 100 W lamp is increased from a photocell, the saturation current in the photocell varies with the distance \( d \) as?
Following process is known as?
During charging a capacitor, variations of potential \( V \) of the capacitor with time \( t \) is shown as?
When a resistor of 11 Ω is connected in series with an electric cell, the current following in it is 0.5 A. Instead, when a resistor of 5Ω is connected to the same electric cell in series, the current increases by 0.4 A. The internal resistance of the cell is?
A battery is charged at a potential of 15 V in 8 h when the current flowing is 10 A. The battery on discharge supplies a current of 5 A for 15 h. The mean terminal voltage during discharge is 14V. The watt-hour efficiency of the battery is?
A circular current carrying coil has a radius \( R \). The distance from the center of the coil on the axis, where the magnetic induction will be \( \frac{1}{8} \) to its value at the center of the coil is?
The incorrect statement regarding the lines of force of the magnetic field \( B \) is?
Two coils have a mutual inductance of 0.55 H. The current changes in the first coil according to the equation \( I = I_0 \sin \omega t \), where \( I_0 = 10 \, A \) and \( \omega = 100 \, rad/s \). The maximum value of emf in the second coil is?
An L-C-R circuit contains \( R = 50 \, \Omega \), \( L = 1 \, mH \), and \( C = 0.1 \, \mu F \). The impedance of the circuit will be minimum for a frequency of?
An eye can detect \( 5 \times 10^4 \) photons per square meter per second of green light ( \( \lambda = 500 \, nm \)) while the ear can detect \( 10^{-12} \, W/m^2 \). The factor by which the eye is more sensitive as a power detector than ear is close to?
The sodium extract of an organic compound on acidification with acetic acid and addition of lead acetate solution gives a black precipitate. The organic compound contains?
The volume strength of 1.5 N H2O2 solution is?
MnO4- + 8H+ + 5e- → Mn2+ + 4H2O; \( E^\circ = 1.51 \, V \)
MnO4- + 4H+ + 2e- → Mn2+ + 2H2O; \( E^\circ = 1.23 \, V \)
A metal has bcc structure and the edge length of its unit cell is 3.04 Å. The volume of the unit cell in cm³ will be?
Among [Fe(H2O)6]3+, [Fe(CN)6]3-, [Fe(CO)6]3- species, the hybridization state of the Fe atom is?
Which of the following hydrogen bonds are strongest in vapour phase?
The rate constant for forward reaction and backward reaction of hydrolysis of ester are \( 1.1 \times 10^{-2} \) and \( 1.5 \times 10^{-3} \) per minute respectively. Equilibrium constant for the reaction is?
A 1.0 M NaOH reacts with 20 mL of HCl solution for complete neutralisation. The molarity of HCl solution is?
An \( f \)-shell containing 6 unpaired electrons can exchange?
The standard molar heat of formation of ethane, CO2, and water (\( \Delta H_f \)) are respectively -21.1, -94.1, and -68.3 kcal. The standard molar heat of combustion of ethane will be?
The solubility product of \( Ag_2 CrO_4 \) is \( 3.2 \times 10^{-12} \). What is the concentration of \( CrO_4^{2-} \) ions in that solution?
The equivalent conductivity of a solution containing 2.54g of CuSO4 per liter is 91.0 \( \Omega^{-1} \, cm^2 \). The conductivity would be?
The half-life of two samples are 0.1 and 0.8 S. Their respective concentration are 400 and 0.5. The order of the reaction is?
Which sequence of reactions shows correct chemical relation between sodium and its compounds?
In the reaction, \[ 8Al + 3Fe_2O_3 \longrightarrow 4Al_2O_3 + 9Fe \]
the number of electrons transferred from the reductant to the oxidant is?
The bond angles of \( NH_3 \), \( NH_2 \), and \( NH_4^+ \) are?
A gaseous mixture containing He, CH4, and SO2 was allowed to effuse through a fine hole. Then find what molar ratio of gases coming out initially? (Given mixture contains He, CH4, and SO2 in 1:2:3 molar ratio)
According to Bohr’s theory, the angular momentum for an electron of third orbit is?
In the sequence of reactions, the final product (IV) is?
2.76 g of silver carbonate on being strongly heated yields a residue weighing?
The final product (IV) in the sequence of reactions is?
Following process is known as?
Ph—C=C—CH, undergoes Hg2+ / H+ to give?
Which of the following has an ester linkage?
Which of the following pairs give positive Tollen’s test?
Peptisation involves?
Which of the following has the maximum number of unpaired d-electrons?
Iodine is formed when potassium iodide reacts with a solution of?
Which of the following does not represent the correct order of the property indicated?
If the elevation in boiling point of a solution of 10 g of solute (mol. wt. = 100) in 100 g of water is \( \Delta T_b \), the ebullioscopic constant of water is?
Which of the following compounds cannot be prepared singly by the Wurtz reaction?
Which of the following oxides is strongly basic?
In Langmuir’s model of adsorption of a gas on a solid surface, the rate of dissociation of adsorbed molecules from the surface does not depend on?
How many sigma and pi-bonds are there in the molecule of dicyanoethene (\( CH_2 CH CN \))?
What will be the order of reactivity of the following carbonyl compounds with Grignard’s reagent?
Which of the following isomerism is shown by ethyl acetoacetate?
The final product obtained in the reaction,
Among the following the strongest nucleophile is?
Which set has different class of compounds?
The solution of \( \frac{dy}{dx} = \frac{x^2 + y^2 + 1}{2xy} \), satisfying \( y(1) = 0 \), is given by?
If \( x \frac{dy}{dx} = x \cdot f(xy) \), then \( f(xy) \) is equal to?
The differential equation of the rectangular hyperbola, where axes are the asymptotes of the hyperbola, is?
The length of longer diagonal of the parallelogram constructed on \( 5a + 2b \) and \( a - 3b \), if it is given that \( |a| = 2\sqrt{2} \), \( |b| = 3 \), and the angle between \( a \) and \( b \) is \( \frac{\pi}{4} \), is?
If \( r = a \times b \times c + \beta \cdot a + \gamma \cdot b + [a \, b \, c] = 2 \), then \( a + \beta + \gamma \) is equal to?
If \( a \), \( b \), and \( c \) are three non-coplanar vectors and \( p, q, r \) are reciprocal vectors, then \( (p + q + r) \) is equal to?
If the integers \( m \) and \( n \) are chosen at random from 1 to 100, then the probability that a number of the form \( 7m + 7n \) is divisible by 5, equals to?
Let \( X \) denote the sum of the numbers obtained when two fair dice are rolled. The variance and standard deviation of \( X \) are?
A four digit number is formed by the digits 1, 2, 3, 4 with no repetition. The probability that the number is odd is?
The vertices of a triangle are \( A(0,4,1) \), \( B(2,-3,-1) \), and \( C(4,5,0) \), then the orthocenter of ABC is?
The equation of normal to the curve \( y = (1 + x) + \sin^{-1}(\sin x) \) at \( x = 0 \) is?
The value of from the Lagrange's mean value theorem for which \( f(x) = \sqrt{25 - x^2} \) in the interval \( [1,5] \) is?
Two lines \( x - y + 1 = 1 \) and \( x - 3y - k = 2 \) intersect at a point, if \( k \) is equal to?
The minimum value of \( \frac{x}{\log x} \) is?
The triangle formed by the tangent to the curve \( y = x^2 + x + 1 \) at the point \( (1, 3) \) and the coordinate axes lies in the first quadrant. If its area is 2, then the value of \( b \) is?
The statement \( p \rightarrow q \) is equivalent to?
If \( x + y = 2 \cos \theta + 5 \sin \theta \), then \( x^2 + y^2 \) is equal to?
The negation of \( \sim (p \land q) \lor (p \land \sim q) \) is?
The normals at three points P, Q, and R of the parabola \( y^2 = 4ax \) meet at \( (h, k) \). The centroid of the triangle formed by the points P, Q, and R lies on?
The minimum area of the triangle formed by any tangent to the ellipse \( \frac{x^2}{a^2} + \frac{y^2}{b^2} = 1 \) with the coordinate axes is?
If the line \( lx + my - n = 0 \) will be a normal to the hyperbola, then \( \frac{a^2}{l^2} + \frac{b^2}{m^2} = k \), where \( k \) is equal to?
If \( \cos \alpha + i \sin \alpha = b \), \( c = \cos \gamma + i \sin \gamma \) and \( b + c + a = 1 \), then \( \cos (\beta - \gamma) + \cos (\alpha - \beta) \) is equal to?
The greatest and the least value of \( z = x + iy \), where \( |z| = 1 \) and \( |x| \leq 3 \), are?
The angle between lines joining the origin to the point of intersection of the line \( \sqrt{3}x + y = 2 \) and the curve \( y^2 = x^3 \) is?
If the area of the triangle on the complex plane formed by the points \( z = x + iy \) and \( z = 1 \) is 200, then the value of \( 3 \times |z| \) must be equal to?
The equation of the chord of the hyperbola \( 25x^2 - 16y^2 = 400 \), which is bisected at the point \( (6, 2) \), is?
If a plane meets the coordinate axes at \( A, B, C \) such that the centroid of the triangle is \( (1, 2, 4) \), then the equation of the plane is?
The volume of the tetrahedron included between the plane \( 3x + 4y - 5z = 60 \) and the coordinate planes is?
\( \int_0^\infty \left( \sin x + \left| \sin x \right| \right) dx \) is equal to?
The value of \( \int_0^\infty \left[ \sqrt{x} \right] dx \), where \( \left[ . \right] \) is the greatest integer function, is?
If \( (m,n) \) is an integer solution of \( \int_1^\infty \left( 1 + y^2 \right) dy \), then the expression for \( (m, n) \) in terms of \( (m+1, n+1) \) is?
The area in the first quadrant between \( x^2 + y^2 = 4 \) and \( y = \sin x \) is?
The area bounded by \( y = x \) and \( lines |x| = 1 \) is?
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