Previous Year Questions
71 questions — organised by subject with solutions and explanations.
🎯 Practice smarter, not harder
Just sign in to unlock everything. Free for all students.
Two Faraday of electricity is passed through a solution of . The mass of copper deposited at thecathode is: (at. mass of Cu = 63.5 amu)[Main 2015]
Which compound would give 5-keto-2-methyl hexanal upon ozonolysis?[Main 2015]
Which of the following compounds is not colored yellow?[Main 2015]
Which of the following is the energy of a possible excited state of hydrogen?[Main 2015]
Which of the vitamins given below is water soluble?[Main 2015]
The standard Gibbs energy change at 300 K for the reaction 2A ⇌ B + C is 2494.2 J.At a given time,the composition of the reaction mixture is and The reaction proceeds in the:[R = 8.314 J/K/mol, e = 2.
Assertion : Nitrogen and Oxygen are the main components in the atmosphere but these do not react to form oxides of nitrogen.Reason : The reaction between nitrogen and oxygen requires high temperature[
Match the catalysts to the correct processes :CatalystProcess(A) (i) wacker Process(B) (ii) Ziegler – Natta polymerization(C) (iii) Contact process(D) (iv) Deacon’s process[Main 2015]
The ionic radii (in Å) of and are respectively:[Main 2015]
Sodium metal crystallizes in a body centred cubic lattice with a unit cell edge of 4.29 Å. The radius of sodium atom is approximately:[Main 2015]
The color of is due to:[Main 2015]
In the reaction:the product E is[Main 2015]
The vapour pressure of acetone at 20°C is 185 torr. When 1.2 g of a non-volatile substance was dissolved in 100 g of acetone at 20°C, its vapour pressure was 183 torr. The molar mass of the substance
Higher order ( > 3) reactions are rare due to:[Main 2015]
Which among the following is the most reactive?[Main 2015]
Which of the following compounds will exhibit geometrical isomerism ?[Main 2015]
The intermolecular interaction that is dependent on the inverse cube of distance between the molecule is:[Main 2015]
The synthesis of alkyl fluorides is best accomplished by:[Main 2015]
The molecular formula of a commercial resin used for exchanging ions in water softening is (Mol. Wt. 206). What would be the maximum uptake of ions by the resin when expressed in mole per gram resin?[
The number of geometric isomers that can exist for square planar is(py = pyridine):[Main 2015]
In Carius method of estimation of halogens, 250 mg of an organic compound gave 141 mg of AgBr. The percentage of bromine in the compound is: (at. Mass Ag = 108; Br = 80)[Main 2015]
The following reaction is performed at 298 K. The standard free energy of formation of NO(g) is 86.6 kJ/mol at 298 K. What is the standard free energy of formation of at 298 K? [Main 2015]
In the following sequence of reactions: The product C is:[Main 2015]
Which one has the highest boiling point?[Main 2015]
The equation of the plane containing the line , and parallel to the plane, , is :[Main 2015]
A complex number z is said to be unimodular if . Suppose and are complex numbers such that is unimodular and is not unimodular. Then the point lies on a :[Main 2015]
The integral is equal to :[Main 2015]
Let f(x) be a polynomial of degree four having extreme values at x = 1 and x = 2.If then f(2) is equal to :[Main 2015]
Let y(x) be the solution of the differential equation .Then y(e) is equal to :[Main 2015]
Let A and B be two sets containing four and two elements respectively. Then the number of subsets of the set , each having at least three elements is :[Main 2015]
The distance of the point (1, 0, 2) from the point of intersection of the line and the plane , is :[Main 2015]
The area (in sq. units) of the region described by and is :[Main 2015]
The normal to the curve, at (1,1)[Main 2015]
The set of all values of for which the system of linear equations : has a non-trivial solution,[Main 2015]
Let α and β be the roots of the equation .If for ,then the value of is equal to :[Main 2015]
If 12 identical balls are to be placed in 3 identical boxes, then the probability that one of the boxes contains exactly 3 balls is :[Main 2015]
is equal to[Main 2015]
If the function. is differentiable, then the value of k + m is :[Main 2015]
The integral equals :[Main 2015]
Let where . Then a value of y is :[Main 2015]
The number of integers greater than 6,000 that can be formed, using the digits 3, 5, 6, 7 and 8, without repetition, is :[Main 2015]
The mean of the data set comprising of 16 observations is 16. If one of the observation valued 16 is deleted and three new observations valued 3, 4 and 5 are added to the data, then the mean of the re
In the circuit shown, the current in the 1Ω resistor is : [Main 2015]
On a hot summer night, the refractive index of air is smallest near the ground and increases with height from the ground. When a light beam is directed horizontally, the Huygens’ principle leads us to
The period of oscillation of a simple pendulum is Measured value of L is 20.0 cm known to 1 mm accuracy and time for 100 oscillations of the pendulum is found to be 90 s using wrist watch of 1s resolu
An inductor (L = 0.03 H) and a resistor (R = 0.15 kΩ) are connected in series to a battery of 15V EMF in a circuit shown. The key has been kept closed for a long time. Then at is opened and key is clo
In the given circuit, charge on the 2μF capacitor changes as C is varied from 1μF to 3μF. as a function of ‘C’ is given properly by : (figures are drawn schematically and are not to scale)[Main 2015]
Two coaxial solenoids of different radii carry current I in the same direction. Let be the magnetic force on the inner solenoid due to the outer one and be the magnetic force on the outer solenoid due
A train is moving on a straight track with speed . It is blowing its whistle at the frequency of 1000 Hz. The percentage change in the frequency heard by a person standing near the track as the train
Two long current carrying thin wires, both with current I, are held by insulating threads of length L and are in equilibrium as shown in the figure, with threads making an angle 'θ' with the vertical.
A particle of mass m moving in the x direction with speed 2v is hit by another particle of mass 2m moving in the y direction with speed v. If the collision is perfectly inelastic, the percentage loss
Consider a spherical shell of radius R at temperature T.The black body radiation inside it can be considered as an ideal gas of photons with internal energy per unit volume and pressure . If the shell
An LCR circuit is equivalent to a damped pendulum. In an LCR circuit the capacitor is charged to then connected to the L and R as shown.If a student plots graphs of the square of maximum charge on the
A long cylindrical shell carries positive surface charge in the upper half and negative surface charge in the lower half. The electric field lines around the cylinder will look like figure given in: (
A uniformly charged solid sphere of radius R has potential (measured with respect to ) on its surface.For this sphere the equipotential surfaces with potentials and have radius and respectively[Main 2
As an electron makes a transition from an excited state to the ground state of a hydrogen – like atom/ion:[Main 2015]
Given in the figure are two blocks A and B of weight 20 N and 100 N respectively. These are being pressed against a wall by a force F as shown. If the coefficient of friction between the blocks is 0.1
A pendulum made of a uniform wire of cross sectional area A has time period T. When an additional mass M is added to its bob, the time period changes to . If the Young’s modulus of the material of the
A rectangular loop of sides 10 cm and 5 cm carrying a current I of 12 A is placed in different orientations as shown in the figures below: If there is a uniform magnetic field of 0.3 T in the positive
Monochromatic light is incident on a glass prism of angle . If the refractive index of the material of the prism is , a ray, incident at an angle on the face would get transmitted through the face of
For a simple pendulum, a graph is plotted between its kinetic energy (KE) and potential energy (PE) against its displacement d. Which one of the following represents these correctly? (Graphs are schem
Distance of the centre of mass of a solid uniform cone from its vertex is . If the radius of its base is R and its height is h then is equal to :[Main 2015]
Consider an ideal gas confined in an isolated closed chamber. As the gas undergoes an adiabatic expansion the average time of collision between molecules increases as , where V is the volume of the ga
When 5V potential difference is applied across a wire of length 0.1 m, the drift speed of electrons is .If the electron density in the wire is ,the resistivity of the material is close to[Main 2015]
From a solid sphere of mass M and radius R a cube of maximum possible volume is cut. Moment of inertia of cube about an axis passing through its center and perpendicular to one of its faces is :[Main
A solid body of constant heat capacity 1 J/°C is being heated by keeping it in contact with reservoirs in two ways:(i) Sequentially keeping in contact with 2 reservoirs such that each reservoir suppli
Two stones are thrown up simultaneously from the edge of a cliff 240 m high with initial speed of 10 m/s and 40 m/s respectively. Which of the following graph best represents the time variation of rel
From a solid sphere of mass M and radius R, a spherical portion of radius R/2 is removed, as shown in the figure. Taking gravitational potential V = 0 at , the potential at the centre of the cavity th
Assuming human pupil to have a radius of 0.25 cm and a comfortable viewing distance of 25 cm, the minimum separation between two objects that human eye can resolve at 500 nm wavelength is:[Main 2015]
A red LED emits light at 0.1 watt uniformly around it. The amplitude of the electric field of the light at a distance of 1 m from the diode is:[Main 2015]
Match List – I (Fundamental Experiment) with List – II (its conclusion) and select the correct option from the choices given below the list:List-IList-II(A) Franck-Hertz Experiment (i) Particle nature