Previous Year Questions
48 questions — organised by subject with solutions and explanations.
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A car, moving with a speed of , can be stopped by brakes after at least . If the same car is moving at a speed of , the minimum stopping distance is
A marble block of mass lying on ice when given a velocity of is stopped by friction in . Then the coefficient of friction is
A circular disc of radius is made from an iron plate of thickness , and another disc of radius is made from an iron plate of thickness . Then the relation between the moment of inertia and is
The time period of satellite of earth is 5 hours. If the separation between the earth and the satellite is increased to 4 times the previous value, the new time period will become
The co-ordinates of a moving particle at any time ' ' are given by and . The speed to the particle at time ' ' is given by
Dimensions of , where symbols have their usual meaning, are
A spring of spring constant is stretched initially by from the unstretched position. Then the work required to stretch it further by another is
A spring balance is attached to the ceiling of a lift. A man hangs his bag on the spring and the spring reads , when the lift is stationary. If the lift moves downward with an acceleration of , the re
The escape velocity for a body projected vertically upwards from the surface of earth is 11 . If the body is projected at an angle of with the vertical, the escape velocity will be
Which of the following parameters does not characterize the thermodynamic state of matter?
The length of a wire of a potentiometer is , and the . of its standard cell is volt. It is employed to measure the . of a battery whose internal resistance in . If the balance point is obtained at fro
A tuning fork of known frequency makes 5 beats per second with the vibrating string of a piano. The beat frequency decreases to 2 beats per second when the tension in the piano string is slightly incr
If the electric flux entering and leaving an enclosed surface respectively is and , the electric charge inside the surface will be
A body executes simple harmonic motion. The potential energy , the kinetic energy and total energy are measured as a function of displacement . Which of the following statements is true?
An ammeter reads upto 1 ampere. Its internal resistance is . To increase the range to the value of the required shunt is
The physical quantities not having same dimensions are
Three charges and are placed as shown in the figure. The -component of the force on is proportional to
The length of a given cylindrical wire is increased by . Due to the consequent decrease in diameter the change in the resistance of the wire will be
A boy playing on the roof of a high building throws a ball with a speed of at an angle of with the horizontal. How far from the throwing point will the ball be at the height of from the ground?
Let be the force acting on a particle having position vector , and be the torque of this force about the origin. Then
A metal wire of linear mass density of is stretched with a tension of between two rigid supports 1 metre apart. The wire passes at its middle point between the poles of a permanent magnet, and it vibr
A rocket with a lift-off mass is blasted upwards with an initial acceleration of . Then the initial thrust of the blast is
Three forces start acting simultaneously on a particle moving with velocity, . These forces are represented in magnitude and direction by the three sides of a triangle . The particle will now move wit
The thermo . of a thermo -couple is at room temperature. A galvanometer of resistance, capable of detecting current as low as , is connected with the thermo couple. The smallest temperature difference
"Heat cannot by itself flow from a body at lower temperature to a body at higher temperature" is a statement or consequence of
A 3 volt battery with negligible internal resistance is connected in a circuit as shown in the figure. The current , in the circuit will be
The displacement of particle varies according to the relation . The amplitude of the particle is
A carnot engine takes . of heat from a reservoir at , and gives it to a sink at . The work done by the engine is
The length of a simple pendulum executing simple harmonic motion is increased by . The percentage increase in the time period of the pendulum of increased length is
A light spring balance hangs from the hook of the other light spring balance and a block of mass hangs from the former one. Then the true statement about the scale reading is
Consider the following two statements:A. Linear momentum of a system of particles is zeroB. Kinetic energy of a system of particles is zero. then
A sheet of aluminium foil of negligible thickness is introduced between the plates of a capacitor. The capacitance of the capacitor
The negative pole of a Daniell cell, sending a constant current through a circuit, decreases in mass by in 30 minutes. If the electrochemical equivalent of and are and respectively, the increase in th
The displacement of a wave travelling in the -direction is given by where is expressed in metres and in seconds. The speed of the wave - motion, in , is
During an adiabatic process, the pressure of a gas is found to be proportional to the cube of its absolute temperature. The ratio for the gas is
A block of mass is pulled along a horizontal frictionless surface by a rope of mass . If a force is applied at the free end of the rope, the force exerted by the rope on the block is
A mass is suspended from a spring of negligible mass. The spring is pulled a little and then released so that the mass executes of time period . If the mass is increased by . the time period becomes .
According to Newton's law of cooling, the rate of cooling of a body is proportional to , where is the difference of the temperature of the body and the surrounding, and is equal to
A thin spherical conducting shell of radius has a charge . Another charge is placed at the center of the shell. The electrostatic potential at a point a distance from the center of the shell is
The work done in placing a charge of coulomb on a condenser of capacity 100 micro-farad is
Two particles and of equal masses are suspended from two massless springs of spring of spring constant and , respectively. If the maximum velocities, during oscillation, are equal, the ratio of amplit
A 220 volt, 1000 watt bulb is connected across a 110 volt mains supply. The power consumed will be
A body is moved along a straight line by a machine delivering a constant power. The distance moved by the body in time ' is proportional to
A particle performing uniform circular motion has angular frequency is doubled & its kinetic energy halved, then the new angular momentum is
Two spherical bodies of mass and radii respectively are released in free space with initial separation between their centers equal to . If they attract each other due to gravitational force only, then
A wire suspended vertically from one of its ends is stretched by attaching a weight of to the lower end. The weight stretches the wire by . Then the elastic energy stored in the wire is
A horizontal force of is necessary to just hold a block stationary against a wall. The coefficient of friction between the block and the wall is . The weight of the block is
The earth radiates in the infra-red region of the spectrum. The spectrum is correctly given by