VITEEE 2011 Question Paper is available for download here. VITEEE 2011 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 2011 Question Paper with Solution PDF using the link below.
VITEEE 2011 Question Paper with Solution PDF
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A glass rod rubbed with silk is used to charge a gold leaf electroscope, and the leaves are observed to diverge. The electroscope is then charged with X-rays for a short period. Then the leaves will:
An infinite line charge, with coordinates \( x = 1 \) cm and charge density \( \lambda \), produces an electric field at point A at distance r from the line. If the charge on line is \( 10 \mu C \), then what is the electric field at point A?
A cube of side 5 cm is placed in a uniform field \( E \), where \( E = 5 \times 10^4 \, N/C \). The flux through the cube is:
The capacity of a capacitor is \( 4 \times 10^{-6} \, F \) and its potential is 100 V. The charge on the plates is:
Dimensions of a block are \( 1 \, cm \times 1 \, cm \times 100 \, cm \). If the specific resistance of its material is \( 3 \times 10^{-7} \, \Omega \, m \), then the resistance between the opposite rectangular faces is:
An electric bulb of 100 W is connected to a supply of electricity of 220 V. The resistance of the filament is:
Pick out the wrong statement:
The electrochemical equivalent of magnesium is 0.126 mg/C. A current of 5 A is passed in a suitable solution for 1 hour. The mass of magnesium deposited will be:
In producing chlorine through electrolysis, 100 W power at 125 V is being consumed. How much chlorine per minute is liberated? (ECE of chlorine is \( 0.367 \times 10^{-6} \, kg/C \))
A particle carrying a charge 100 times the charge on an electron is rotating per second in a circular path of radius 0.8 m. The value of the magnetic field produced at the center will be:
A rectangular loop carrying a current \( i \) is placed in a uniform magnetic field \( B \). The area enclosed by the loop is \( A \). If there are \( n \) turns in the loop, the torque acting on the loop is given by:
In a magnetic field of 0.05 T, area of a coil changes from \( 10 \, cm^2 \) to \( 100 \, cm^2 \) without changing the resistance which is 2 \( \Omega \). The amount of charge that flows during this period is:
A solenoid has 2000 turns wound over a length of 0.30 m. The area of its cross-section is \( 1.2 \times 10^{-4} \, m^2 \). Around its central section, a coil of 300 turns is wound. If an initial current of 2 A in the solenoid is reversed in 0.25 s, then the emf induced in the coil is:
An inductive circuit contains a resistance of 100 \( \Omega \) and an inductance of 0.2 H. If an AC voltage of 120 V and frequency of 60 Hz is applied to this circuit, the current in the circuit would be nearly:
In a Millikan’s oil drop experiment, the charge on an oil drop is calculated to be \( 6.35 \times 10^{-19} \, C \). The number of excess electrons on the drop is:
The values \( +\frac{1}{2} \) and \( -\frac{1}{2} \) of spin quantum number show:
The frequency of incident light falling on a photosensitive metal plate is doubled, the kinetic energy of the emitted photoelectrons is:
Light of two different frequencies whose photons have energies 1 eV and 2.5 eV, respectively, successively illuminate a metal whose work function is 0.5 eV. The ratio of the maximum speed of the emitted electrons will be:
An electron accelerated under a potential difference \( V \) volt has a certain wavelength \( \lambda \). Mass of proton is some 2000 times the mass of the electron. If the proton has to have the same wavelength \( \lambda \), then it will have to be accelerated under a potential difference of:
The ratio of momentum of an electron and \( \alpha \)-particle which are accelerated from rest by a potential difference of 100 V is:
Sky wave propagation is used in:
The frequency of an FM transmitter without signal input is:
What is the age of an ancient wooden piece if it is known that the specific activity of \( C \)-nuclide in it is one-third of that in freshly grown trees? Given that the half-life of \( C \)-nuclide is 5700 years:
A thin metallic spherical shell contains a charge \( Q \). A point charge \( q \) is placed at the center of the shell and another charge \( q_1 \) is placed outside it as shown in the figure. All the three charges are positive. The force on the charge at the center is:
As shown in the figure, charges \( +q \) and \( -q \) are placed at the vertices B and C of an isosceles triangle. The potential at the vertex A is:
On moving a charge of \( 20 \, C \) by \( 2 \, cm \), 2 J of work is done, then the potential difference between the points is:
The insulation property of air breaks down at \( 3 \times 10^6 \, V/m \). The maximum charge that can be given to a sphere of diameter 5 m is nearly:
Five resistances are connected as shown in the figure. The effective resistance between points A and B is:
A potentiometer is connected across A and B, and a balance is obtained at 64.0 cm. When potentiometer lead to B is moved to C, a balance is found at 8.0 cm. If the potentiometer is now connected across B and C, a balance will be found at:
In an electromagnetic wave, the average energy density associated with magnetic field is:
An electromagnetic wave going through vacuum is described by: \[ E = E_0 \sin(kx - \omega t) \]
Which of the following is/are independent of the wavelength?
An ammeter reads up to 1 A. Its internal resistance is 0.81 \( \Omega \). To increase the range to 10 A, the value of the required shunt is:
A coil of resistance 100 \( \Omega \) and inductance 5 H is connected to a 100 V battery. Then the energy stored in the coil is:
A nucleus \( _{Z}^A X \) emits an \( \alpha \)-particle. The resultant nucleus emits a \( \beta^- \)-particle. The respective atomic and mass numbers of final nucleus will be:
In Young's double slit experiment, the intensity of light at a point on the screen where the path difference is \( \lambda \) is:
Polarising angle for water is \( 53^\circ 4' \). If light is incident at this angle on the surface of water and reflected, the angle of refraction is:
A 2 V battery, a 15 \( \Omega \) resistor, and a potentiometer of 100 cm length are connected in series. If the resistance of potentiometer wire is 5 \( \Omega \), then the potential gradient of the potentiometer wire is:
The output voltage of a transformer connected to a 220 V line is 1100 V at 2 A current. Its efficiency is 100%. The current coming from the line is:
An alkene having molecular formula \( C_8H_{12} \) on ozonolysis yields glyoxal and 2, 2-dimethyl butane-1, 4-dial. The structure of the alkene is:
Amongst \( Ni(CO)_4 \), \( [Ni(CN)_4]^{2-} \), and \( [NiCl_4]^{2-} \), which is paramagnetic?
The equivalent conductances of two ions at infinite dilution in water at 25°C are given below: \[ \Lambda_0 (Ba^{2+}) = 127.00 \, S cm^2/equiv, \quad \Lambda_0 (Cl^-) = 76.00 \, S cm^2/equiv \]
The equivalent conductance (in \( S cm^2/equiv \)) of BaCl\(_2\) at infinite dilution will be:
The product formed when phthalimide is treated with a mixture of \( Br_2 \) and strong NaOH solution is:
In a set of reactions acetic acid yielded a product D:
A nucleus \( _{Z}^A X \) emits an \( \alpha \)-particle. The resultant nucleus emits a \( \beta^- \)-particle. The respective atomic and mass numbers of the final nucleus will be:
\( p \)-toluidine and benzyl amine can be distinguished by:
\( C_6H_4Br \) undergoes Wurtz reaction. We may expect some of the following products:
Sometimes explosion occurs while distilling ethers. It is due to the presence of:
The reaction is called:
The secondary structure of a protein refers to:
Self condensation of two moles of ethyl acetate in the presence of sodium ethoxide after acidification yields:
Which one of the following will be most basic?
MnO\(_2\) dissolves in water to give an acid. The color of the acid is:
"925 fine silver" means an alloy of:
"925 fine silver" means an alloy of:
In which of the following octahedral complexes of Co (At no. 27), will the magnitude of \( \Delta_o \) be the highest?
Assertion (A): \( Cu^{2+} \) and \( Cd^{2+} \) are separated by first adding KCN solution and then passing H\(_2\)S gas. Reason (R): KCN reduces \( Cu^{2+} \) to \( Cu^+ \) and forms a complex with it.
The effective atomic number of cobalt in the complex \( [Co(NH_3)_6]^{3+} \) is:
The IUPAC name for the complex \( [Co(NO_3)_6NH_3]^{3+} \) is:
The radio-isotope used for treatment of thyroid disorders is:
Tetragonal crystal system has the following unit cell dimensions:
A crystalline solid:
Two glass bulbs A and B are connected by a very small tube having a stop-cock. Bulb A has a volume of 100 cm\(^3\) and contained the gas while bulb B was empty. On opening the stop-cock, the pressure fell down to 40%. The volume of the bulb B must be:
20 mL of 2.0 M NaOH is added to 50 mL of 0.2 M HCl. The pH of this solution after mixing is:
Consider the following equation, which represents the reaction in the extraction of chromium from its ore: \[ Fe_2O_3 + 4Na_2Cr_2O_7 + 3O_2 \rightarrow 2Fe_2O_3 + 4Na_2CrO_4 + 3O_2 \]
Which of the following statements about the oxidation states of the substances is correct?
The freezing point of a solution composed of 10.0 g of KCl in 100 g of water is 4.5°C. Calculate the van't Hoff factor, \(i\), for this solution.
In the reversible reaction, \[ 2NO_2 \rightleftharpoons N_2O_4 \]
the rate of disappearance of \( NO_2 \) is equal to:
A chemical reaction was carried out at 300 K and 280 K. The rate constants were found to be \( k_1 \) and \( k_2 \) respectively. Then
The rate constant of a reaction at temperature 200 K is 10 times less than the rate constant at 400 K. What is the activation energy of the reaction?
A vessel at 1000 K contains CO\(_2\) with a pressure of 0.5 atm. Some of the CO\(_2\) is converted into CO on the addition of graphite. The value of K if the total pressure at equilibrium is 0.8 atm, is:
For the reaction \( 2A + B \rightleftharpoons C \), \( \Delta H = x \) cal, which one of the following conditions would favour the yield of C on the basis of Le-Chatelier's principle?
The EMF of the cell, \[ Mg^{2+}(0.01M) \parallel Sn^{2+}(0.1M) \parallel Sn at 298K \]
is:
Heat of formation, \( \Delta H_f \), of an explosive compound like NC\( _3 \) is:
For the reaction, \[ C_3H_8(g) + 5O_2(g) \rightarrow 3CO_2(g) + 4H_2O(l) \]
at constant temperature, \( \Delta H = \Delta E \) is:
The favourable conditions for a spontaneous reaction are:
Compound A and B are treated with dil. HCl separately. The gases liberated are Y and Z respectively. Y turns acidified dichromate paper green while Z turns lead acetate paper black. The compound A and B are respectively:
Which of the following is the correct comparison of the stability of the molecules?
To the lines \( ax^2 + 2hxy + by^2 = 0 \), the line \( ax^2 + 2h(a+b)xy + b^2y^2 = 0 \) are:
If \( R \) be a relation from \( A = \{1, 2, 3, 4\} \) to \( B = \{1, 3, 5\} \) such that \( (a, b) \in R \) if \( a < b \), then ROR is:
If \( x + y = (1 + i \sqrt{3})^{100} \), then find \( (x, y) \):
For a GP, \( a_n = 3(2^n) \), \( n \in \mathbb{N} \), Find the common ratio.
If \( a, b, c \) are in HP, then \( \frac{a}{b+c} = \frac{b}{c+a} = \frac{c}{a+b} \) will be in:
If \( x^2 + 2x + 7 < 6 \), \( x \in \mathbb{R} \), then:
The number of ways of painting the faces of a cube of six different colours is:
A line passes through \( (2, 2) \) and is perpendicular to the line \( 3x + y = 3 \). What is its y-intercept?
The number of common tangents to the circles \( x^2 + y^2 = 4 \) and \( x^2 + y^2 - 6x - 8y = 24 \) is:
If D is the set of all real x such that \( 1 - e^{(1/x)} \) is positive, then D is equal to:
Find the value of the limit \[ \lim_{x \to 0} \frac{\sqrt{1 - \cos x}}{x} \]
Evaluate \[ \int \frac{x^2 + 4}{x^4 + 16} \, dx \]
Evaluate \[ \int_{ \frac{\pi}{4} }^{ \frac{3\pi}{4} } \frac{1}{1 + \cos x} \, dx \]
If one AM 'A' and two GM \( p \) and \( q \) are inserted between two given numbers, then find the value of \[ \frac{p^2}{q} + \frac{q^2}{p} \]
If the roots of the equation \( x^2 + ax + b = 0 \) are \( c \) and \( d \), then one of the roots of the equation \[ x^2 + (2c + a)x + c^2 + ac + b = 0 \]
is:
The sum of the coefficients of \( (6a - 5b)^n \), where \( n \) is a positive integer, is:
Find the value of \( (7.995)^{1/3} \) correct to four decimal places.
The values of constants \( a \) and \( b \), so that \[ \lim_{x \to \infty} \left( \frac{x^2 + 1}{x + 1} - ax - b \right) = 0 \]
are:
The projection of the vector \( \mathbf{i} - 2\mathbf{j} + \mathbf{k} \) on the vector \( 4\mathbf{i} - 4\mathbf{j} + 7\mathbf{k} \) is:
If \( a, b, c \) are three non-zero vectors such that \( a + b + c = 0 \) and \( m = a \cdot b + b \cdot c + c \cdot a \), then:
A line making angles 45° and 60° with the positive directions of the axes of \( x \) and \( y \) makes with the positive direction of \( z \)-axis, an angle of:
If \[ \mathbf{I} = \begin{bmatrix} 1 & 0 & 0
0 & 1 & 0
0 & 0 & 1 \end{bmatrix}, \quad B = \begin{bmatrix} \cos \theta & -\sin \theta
\sin \theta & \cos \theta \end{bmatrix} \]
then \( B \) is equal to:
Which of the following is correct?
If \( \alpha, \beta, \gamma \) are the roots of \( x^3 + ax^2 + b = 0 \), then the value of \[ \frac{\alpha \beta}{\gamma}, \quad \frac{\beta \gamma}{\alpha}, \quad \frac{\gamma \alpha}{\beta} \]
If the axes are shifted to the point \( (1, 2) \) without solution, then the equation \[ 2x^2 + 2y^2 - 4x + 4y = 0 \]
becomes:
If \( f(x) = \frac{x^2}{2}, for x \leq 0, \frac{2\sin x}{x}, for x > 0 \), then \( x = 0 \) is:
In a group \( (G^*) \), the equation \( x * a = b \) has a:
A die is rolled twice and the sum of the numbers appearing on them is observed to be 7. What is the conditional probability that the number 2 has appeared at least once?
The locus of the mid-points of the focal chord of the parabola \( y^2 = 4ax \) is:
Find the value of \[ \sin 12^\circ \sin 48^\circ \sin 54^\circ \]
In an equilateral triangle, the inradius, circumradius, and one of the exradii are in the ratio:
Let \( p \) and \( q \) be two statements. Then, \( p \vee q \) is false if:
In how many ways 6 letters can be posted in 5 different letter boxes?
If \( A \) and \( B \) are two sets such that \( A \times B \) consists of 6 elements, find \( B \times A \):
Let \( R: \mathbb{R} \to \mathbb{R} \) be defined as \( f(x) = x^2 + 1 \), find \( f^{-1}(-5) \):
If \( X \) is a Poisson variate such that \( P(X = 1) = P(X = 2) \), then \( P(X = 4) \) is equal to:
The area enclosed by \( y = 3x - 5 \), \( y = 0 \), \( x = 3 \), and \( x = 5 \) is:
The order and degree of the differential equation \[ \left( 1 + 4 \frac{dy}{dx} \right)^{2/3} = 4 \frac{d^2 y}{dx^2} \]
are respectively:
The solution of the differential equation \[ \frac{dy}{dx} = (4x + y + 1)^2 \]
is:
The system of equations \[ 2x + y - 5 = 0, \quad x - 2y + 1 = 0, \quad 2x - 14y - a = 0 \]
is consistent. Then, \( a \) is equal to:
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