Previous Year Questions
47 questions — organised by subject with solutions and explanations.
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A bullet fired into a fixed target loses half of its velocity after penetrating . How much further it will penetrate before coming to rest assuming that it faces constant resistance to motion?
Two voltmeters, one of copper and another of silver, are joined in parallel. When a total charge flows through the voltmeters, equal amount of metals are deposited. If the electrochemical equivalents
The function represents
An annular ring with inner and outer radii and is rolling without slipping with a uniform angular speed. The ratio of the forces experienced by the two particles situated on the inner and outer parts
A system goes from to via two processes and as shown in figure. If and are the changes in internal energies in the processes and respectively, then
A T shaped object with dimensions shown in the figure, is lying on a smooth floor. A force is applied at the point parallel to , such that the object has only the translational motion without rotation
Two point charges and are located at and respectively. The location of a point on the axis at which the net electric field due to these two point charges is zero is
Two thin wire rings each having a radius are placed at a distance apart with their axes coinciding. The charges on the two rings are and . The potential difference between the centres of the two rings
A parallel plate capacitor is made by stacking equally spaced plates connected alternatively. If the capacitance between any two adjacent plates is then the resultant capacitance is
A particle of mass is kept on the surface of a uniform sphere of mass and radius . Find the work to be done against the gravitational force between them to take the particle far away from the sphere (
A gaseous mixture consists of of helium and of oxygen. The ratio of the mixture is
A smooth block is released at rest on a incline and then slides a distance . The time taken to slide is times as much to slide on rough incline than on a smooth incline. The coefficient of friction is
If is stress and is young's modulus of material of a wire, the energy stored in the wire per unit volume is
A parachutist after bailing out falls without friction. When parachute opens, it decelerates at . He reaches the ground with a speed of . At what height, did he bail out?
Average density of the earth
A moving coil galvanometer has 150 equal divisions. Its current sensitivity is 10 - divisions per milliampere and voltage sensitivity is 2 divisions per millivolt. In order that each division reads 1
A fully charged capacitor has a capacitance . It is discharged through a small coil of resistance wire embedded in a thermally insulated block of specific heat capacity and mass . If the temperature o
A mass moves with a velocity and collides in-elastically with another identical mass. After collision the mass moves with velocity in a direction perpendicular to the initial direction of motion. Find
A spherical ball of mass is stationary at the top of a hill of height . It rolls down a smooth surface to the ground, then climbs up another hill of height and finally rolls down to a horizontal base
A long capillary tube is dipped in water. The water rises up to . If the entire arrangement is put in a freely falling elevator the length of water column in the capillary tube will be
The upper half of an inclined plane with inclination is perfectly smooth while the lower half is rough. A body starting from rest at the top will again come to rest at the bottom if the coefficient of
The relation between time and distance is where and are constants. The acceleration is
A particle is moving eastwards with a velocity of . In 10 seconds the velocity changes to northwards. The average acceleration in this time is
The block of mass moving on the frictionless horizontal surface collides with the spring of spring constant and compresses it by length . The maximum momentum of the block after collision is
An energy source will supply a constant current into the load if its internal resistance is
Two simple harmonic motions are represented by the equations and . The phase difference of the velocity of particle 1 with respect to the velocity of particle 2 is
The figure shows a system of two concentric spheres of radii and are kept at temperatures and , respectively. The radial rate of flow of heat in a substance between the two concentric spheres is propo
The change in the value of at a height above the surface of the earth is the same as at a depth below the surface of earth. When both and are much smaller than the radius of earth, then which one of t
A body of mass is accelerated uniformly from rest to a speed in a time . The instantaneous power delivered to the body as a function of time is given by
An observer moves towards a stationary source of sound, with a velocity one-fifth of the velocity of sound. What is the percentage increase in the apparent frequency?
In the circuit, the galvanometer shows zero deflection. If the batteries and have negligible internal resistance, the value of the resistor will be -
The bob of a simple pendulum is a spherical hollow ball filled with water. A plugged hole near the bottom of the oscillating bob gets suddenly unplugged. During observation, till water is coming out,
When two tuning forks (fork 1 and fork 2 ) are sounded simultaneously, 4 beats per second are heated. Now, some tape is attached on the prong of the fork 2 . When the tuning forks are sounded again, 6
Two sources of equal are connected to an external resistance . The internal resistance of the two sources are and . If the potential difference across the source having internal resistance is zero, th
The moment of inertia of a uniform semicircular disc of mass and radius about a line perpendicular to the plane of the disc through the center is
In a potentiometer experiment the balancing with a cell is at length . On shunting the cell with a resistance of , the balancing length becomes . The internal resistance of the cell is
Which of the following is incorrect regarding the first law of thermodynamics?
A heater coil is cut into two equal parts and only one part is now used in the heater. The heat generated will now be
A charged ball hangs from a silk thread , which makes angle with a large charged conducting sheet , as shown in the figure. The surface charge density of the sheet is proportional to
If a simple harmonic motion is represented by . its time period is
A car starting from rest accelerates at the rate through a distance , then continues at constant speed for time and then decelerates at the rate to come to rest. If the total distance traversed is , t
A block is kept on a frictionless inclined surface with angle of inclination . The incline is given an acceleration to keep the block stationary. Then is equal to
The resistance of hot tungsten filament is about 10 times the cold resistance. What will be resistance of and lamp when not in use ?
The temperature-entropy diagram of a reversible engine cycle is given in the figure. Its efficiency is
Consider a car moving on a straight road with a speed of . The distance at which car can be stopped is
A particle of mass subjected to a force with . What will be its initial acceleration if it is released from a point away from the origin?
A body of mass while falling vertically downloads under gravity breaks into two-parts; a body of mass and a body of mass . The center of mass of bodies and taken together shifts compared to that of bo