List of practice Questions

The time of flight of a vertically projected stone is 8 s. The position of the stone after 6 s from the ground is
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
Two particles of equal mass ‘m’ move in a circle of radius ‘r’ under the action of their mutual gravitational attraction. The speed of each particle will be :
Given below are two statement:
statement I : Rotation of the earth shows effect on the value of acceleration due to gravity (g).
statement II : The effect of rotation of the earth on the value of 'g' at the equator is minimum and that at the pole is maximum.
In the light of the above statements , choose the correct answer from the options given below
A car accelerate from it's Stationary position for 8 seconds and travels a distance of 280m. According to the mean value theorem, the speedometer at a certain time during accelaration must read exactly.
A truck moving at a constant speed of 72 km/h enters a curved path of radius of curvature measuring 120 m. It's total acceleration is:
Two planets \( A \) and \( B \) have radii \( R \) and \( 1.5R \), and densities \( \rho \) and \( \frac{\rho}{2} \) respectively. The ratio of acceleration due to gravity at the surface of \( B \) to \( A \) is:
In a Rutherford scattering experiment, when a projectile of charge \( Z_1 \) and mass \( M_1 \) approaches a target nucleus of charge \( Z_2 \) and mass \( M_2 \), the distance of closest approach is \( r_0 \). The energy of the projectile is:
If \( m \) is magnetic moment and \( B \) is the magnetic field, then the torque is given by:
A planet in a distant solar system is 10 times more massive than Earth and its radius is 10 times smaller. Given that the escape velocity from Earth's surface is 11 km/s, the escape velocity from the planet’s surface would be:
A magnetic field does not interact with:
Find the pole strength of a magnet of length 2 cm, if the magnetic field strength \( B \) at distance 10 cm from the centre of a magnet on the axial line of the magnet is \( 10^{-4} \, \text{T} \).
The radius of the current carrying circular coil is doubled keeping the current passing through it the same. Then the ratio of the magnetic field produced at the centre of the coil before the doubling of the radius to the magnetic field after doubling of the radius is:
The magnitude of the magnetic field due to a circular coil of radius R carrying a current I at its centre is
The properties of a material required to make permanent magnets are
A charged particle is moving in a uniform magnetic field \( \mathbf{B} = 2\hat{i} + 3\hat{j} \) T. If it has an acceleration of \( \mathbf{a} = \alpha\hat{i} - 4\hat{j} \) m/s², then the value of \( \alpha \) will be:
A conducting loop of radius \( \frac{10}{\sqrt{\pi}} \) cm is placed perpendicular to a uniform magnetic field of 0.5T. The magnetic field is decreased to zero in 0.5 s at a steady rate. The induced emf in the circular loop at 0.25s is:
The free space inside a current carrying toroid is filled with a material of susceptibility \( \chi = 2 \times 10^{-2} \). The percentage increase in the value of magnetic field inside the toroid will be:
For a given pair of transparent media, the critical angle for which colour is maximum?
An equiconvex lens made of glass of refractive index \(\frac{3}{2}\) has focal length f in air. It is completely immersed in water of refractive index \(\frac{4}{3}\). The percentage change in the focal length is
When light propagates through a given homogeneous medium, the velocities of
Pick the correct answer from the following two statements:
(a) Virtual image can be seen with the eyes.
(b) Virtual image can be captured on the screen.
The colour which has the highest critical angle of incidence is
A convex lens has radius of curvature \( R = 40 \, \text{cm} \) for both surfaces and refractive index \( \mu = 1.5 \). Find the focal length.
If \( r_1 \) and \( r_2 \) are the angles of refraction at the first face and second face of a prism, then the angle of the prism is: