Previous Year Questions
17 questions — organised by subject with solutions and explanations.
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This question has statement I and statement II. Of the four choices given after the statements, choose the one that best describes the two statements.Statement- I: Higher the range, greater is the res
An ideal gas enclosed in a vertical cylindrical container supports a freely moving piston of mass M. The piston and cylinder have equal cross sectional area A. When the piston is in equilibrium, the v
A projectile is given an initial velocity of ,where is along the ground is along the vertical.If ,the equation of its trajectory is:[Main 2013]
A hoop of radius r and mass m rotating with an angular velocity is placed on a rough horizontal surface. The initial velocity of the centre of the hoop is zero. What will be the velocity of the centre
The supply voltage to a room is 120 V. The resistance of the lead wires is 6 Ω. A 60 W bulb is already switched on. What is the decrease of voltage across the bulb, when a 240 W heater is switched on
Two charges, each equal to q, are kept at and on the x-axis. A particle of mass m and charge is placed at the origin. If charge is given a small displacement (y a) along the y-axis, the net force ac
A uniform cylinder of length L and mass M having cross-sectional area A is suspended, with its length vertical, from a fixed point by a massless spring, such that it is half submerged in a liquid of d
If a piece of metal is heated to temperature θ and then allowed to cool in a room which is at temperature the graph between the temperature T of the metal and time t will be closest to :[Main 2013]
The amplitude of a damped oscillator decreases to 0.9 times its original magnitude is 5s. In another 10s it will decrease to α times its original magnitude, where α equals.[Main 2013]
A charge Q is uniformly distributed over a long rod AB of length L as shown in the figure. The electric potential at the point O lying at a distance L from the end A is: [Main 2013]
A sonometer wire of length 1.5 m is made of steel. The tension in it produces an elastic strain of 1 %. What is the fundamental frequency of steel if density and elasticity of steel are and respective
Two capacitors and are charged to 120 V and 200 V respectively. It is found that by connectingthem together the potential on each one can be made zero. Then :[Main 2013]
Assume that a drop of liquid evaporates by decrease in its surface energy, so that its temperature remains unchanged. What should be the minimum radius of the drop for this to be possible? The surface
Let denote the dimensional formula of the permittivity of vacuum. If M = mass, L = length, T = time and A = electric current, then:[Main 2013]
What is the minimum energy required to launch a satellite of mass m from the surface of a planet of mass M and radius R in a circular orbit at an altitude of 2R?[Main 2013]
The above p-v diagram represents the thermodynamic cycle of an engine, operating with an ideal monoatomic gas. The amount of heat extracted from the source in a single cycle is[Main 2013]
This question has Statement I and Statement II. Of the four choices given after the Statements, choose the one that best describes the two Statements.Statement – I : A point particle of mass m moving