List of practice Questions

The human fossils discovered in Java in 1891 with cranial capacity 900 cc is

Cells derived from any of the three germ layers are

When a male donkey is crossed with a female horse, the resultant animal is

If a physical quantity ‘Q’ is defined in terms of moment of inertia ‘I’, force ‘F’, velocity ‘V’, work ‘W’ and length ‘L’ as \[ Q = \frac{IFV^2}{WL^3} \] then ‘Q’ is

A particle starts moving from rest under a constant acceleration, and covers a distance ‘X’ in ‘t’ seconds. The distance covered in next ‘t’ seconds is

A juggler throws balls vertically into the air such that he throws the next ball when the previous one is at its highest point. If he throws 3 balls each second, then the maximum height reached by each ball is
(Acceleration due to gravity \(g = 10~\text{ms}^{-2}\))

If a stone is projected at certain angle ‘θ’ with the horizontal such that its horizontal range is equal to its maximum height, then angle of projection ‘θ’ is

When a spring of force constant \(200~\text{Nm}^{-1}\) is compressed by a force of \(10~\text{N}\), then the compression in the spring is

An object of mass 50 kg is in a lift moving up with an acceleration of 5 ms$^{-2}$. Then the apparent weight of the object and its direction is (Acceleration due to gravity = 10 ms$^{-2}$)

The speed of a body of mass 10 kg changes from 20 ms$^{-1}$ to 30 ms$^{-1}$. The increase in the kinetic energy of the body is

The energy consumed by a 1000 W electric bulb when it is used for 1 hour is

A solid sphere of mass \( M \) and radius \( R \) is free to rotate about an axis passing through its centre. A solid cylinder of mass \( \frac{M}{2} \) and radius \( R \) is free to rotate about its standard axis of symmetry. Initially both the sphere and the cylinder are at rest. If torques of equal magnitude are applied to the sphere and the cylinder, the ratio of the angular speeds acquired by the sphere and the cylinder after a given time is

A wire of length 0.1\(\pi\) m having linear density \( \frac{1}{\pi} \) kg m\(^{-1}\) is bent in the form of a ring. The moment of inertia of the ring about an axis passing through its centre and perpendicular to its plane is

The acceleration of a particle executing simple harmonic motion at a distance of 10 cm from the mean position is 0.4 ms\(^{-2}\). If the amplitude of the particle is 30 cm, the maximum acceleration of the particle is

A body thrown vertically upwards with a velocity of 20 ms\(^{-1}\) from the surface of a planet reaches back the surface of the planet in a time of 2 s. The time period of a simple pendulum of length \( \frac{20}{\pi^2} \) m on this planet is

A 200 kg steel bar sits horizontally on two supports as shown in the figure. The force on each support is (\( g = 9.8 \, \text{ms}^{-2} \))

The part of the stress-strain curve where the Hooke's Law is valid is

Two soap bubbles of radii \( r_1 \) and \( r_2 \) in vacuum coalesce isothermally to form a new bubble. The radius of the new soap bubble is

The temperature of the surface of Sun is 6000 K. The wavelength corresponding to the maximum energy is nearly (Wien's constant, \( b = 2.89 \times 10^{-3} \, \text{mK} \))

During an adiabatic process of a monatomic gas, the relation between absolute temperature (\( T \)) and pressure (\( P \)) is \( P \propto T^X \). The value of \( X \) is

A drilling machine of power \(1~\text{kW}\) is used for 5 minutes to drill a hole in a \(10~\text{kg}\) metal block. If 40% of the work done by the machine is wasted as heat, the rise in temperature of the metal block is nearly (specific heat capacity of the metal = \(420~\text{J\,kg}^{-1}\text{K}^{-1}\))

A gas is compressed from a volume of \(23~\text{m}^3\) to \(17~\text{m}^3\) at a constant pressure of \(50~\text{Nm}^{-2}\). If \(50~\text{J}\) of heat is added to the gas, then the change in its internal energy is

If the percentage increase in the pressure of a given mass of gas in a container at constant temperature is 100%, then its volume

If the speed of a wave doubles as it passes from shallow water into deeper water, its wavelength will be

A tank is filled with benzene to a height of \(120~\text{mm}\). The apparent depth of a needle lying at the bottom of the tank, as seen through a microscope, is found to be \(80~\text{mm}\). The refractive index of benzene is