List of top Questions asked in BITSAT

The range of a projectile projected at an angle of \( 15^\circ \) with the horizontal is \( 50 \) m. If the projectile is projected with the same velocity at an angle of \( 45^\circ \), then its range will be:

An ideal massless spring \( S \) can be compressed \( 1 \) m by a force of \( 100 \) N in equilibrium. The same spring is placed at the bottom of a frictionless inclined plane inclined at \( 30^\circ \) to the horizontal. A \( 10 \) kg block \( M \) is released from rest at the top of the incline and is brought to rest momentarily after compressing the spring by \( 2 \) m. If \( g = 10 \) m/s\( ^2 \), what is the speed of the mass just before it touches the spring? 
 

You measure two quantities as \( A = 1.0 \,m \pm 0.2 \,m \), \( B = 2.0 \,m \pm 0.2 \,m \). We should report the correct value for \( \sqrt{AB} \) as:
A particle of mass \( m \) is projected with a velocity \( u \) making an angle of \( 30^\circ \) with the horizontal. The magnitude of angular momentum of the projectile about the point of projection when the particle is at its maximum height \( h \) is:
A pendulum of mass \( 1 \) kg and length \( l = 1 \) m is released from rest at an angle \( \theta = 60^\circ \). The power delivered by all the forces acting on the bob at angle \( \theta = 30^\circ \) will be (Take, \( g = 10 \) m/s\( ^2 \)):
A person of mass \( 60 \) kg is inside a lift of mass \( 940 \) kg. The lift starts moving upwards with an acceleration of \( 1.0 \) m/s\( ^2 \). If \( g = 10 \) m/s\( ^2 \), the tension in the supporting cable is:
The distance between the Sun and Earth is \( R \). The duration of a year if the distance between the Sun and Earth becomes \( 3R \) will be:
The kinetic energy of a satellite in its orbit around Earth is \( E \). What should be the kinetic energy of the satellite to escape Earth's gravity?

A cube of ice floats partly in water and partly in kerosene oil. The ratio of volume immersed in water to that in kerosene oil is: 
 

Young’s modulus of a material is \( Y \). If the length of a wire is doubled and the cross-sectional area is halved, then Young’s modulus will be:
With rise in temperature, the Young's modulus of elasticity:

Two wires of the same material (Young’s modulus \( Y \)) and same length \( L \) but radii \( R \) and \( 2R \) respectively, are joined end to end and a weight \( W \) is suspended from the combination. The elastic potential energy in the system is: 


 

Two vessels A and B are of the same size and are at the same temperature. A contains 1 g of hydrogen and B contains 1 g of oxygen. \( P_A \) and \( P_B \) are the pressures of the gases in A and B respectively, then \( \frac{P_A}{P_B} \) is:
A solid metallic cube having total surface area \( 24 \, m^2 \) is uniformly heated. If its temperature is increased by \( 10^\circ C \), calculate the increase in volume of the cube.
% Given: \( \alpha = 5.0 \times 10^{-4} \, C^{-1} \)
Five identical springs are used in the three configurations as shown in figure. The time periods of vertical oscillations in configurations (a), (b) and (c) are in the ratio:
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A source supplies heat to a system at the rate of \( 1000 W \). If the system performs work at the rate of \( 200 W \), the rate at which internal energy of the system increases is:

A gas can be taken from A to B via two different processes ACB and ADB. When path ACB is used, \( 60 J \) of heat flows into the system and \( 30 J \) of work is done by the system. If path ADB is used, the work done by the system is \( 10 J \). The heat flow into the system in path ADB is: 
 

The temperature of an ideal gas is increased from 200 K to 800 K. If the RMS speed of gas at 200 K is \( v_0 \), then the RMS speed of the gas at 800 K will be:
In a mixture of gases, the average number of degrees of freedom per molecule is 6. The RMS speed of the molecule of the gas is \( c \). Then the velocity of sound in the gas is:
A simple pendulum doing small oscillations at a place \( R \) height above the Earth's surface has a time period of \( T_1 = 4 \, {s} \). \( T_2 \) would be its time period if it is brought to a point which is at a height \( 2R \) from the Earth's surface. Choose the correct relation [\( R \) = radius of Earth]:
For a particle inside a uniform spherical shell, the gravitational force on the particle is:
A body which is initially at rest at a height \( R \) above the surface of the Earth of radius \( R \), falls freely towards the Earth. The velocity on reaching the surface of the Earth is:

In the given cycle ABCDA, the heat required for an ideal monoatomic gas will be: 
 

A particle executes simple harmonic motion between \( x = -A \) and \( x = +A \). If the time taken by the particle to go from \( x = 0 \) to \( \frac{A}{2} \) is 2 s, then the time taken by the particle in going from \( x = \frac{A}{2} \) to \( A \) is:
On Celsius scale, the temperature of a body increases by \( 40^\circ C \). The increase in temperature on Fahrenheit scale is: