List of practice Questions

When a current passing through a coil changes at a rate of 30 A s\(^{-1}\), the emf induced in the coil is 12 V. If the current passing through this coil changes at a rate of 20 A s\(^{-1}\), the emf induced in this coil is:
Which one of the following statement is INCORRECT?
If a cell of 12 V emf delivers 2 A current in a circuit having a resistance of 5.8 \(\Omega\), then the internal resistance of the cell is:
n number of electrons flowing in a copper wire for 1 minute constitute a current of 0.5 A. Twice the number of electrons flowing through the same wire for 20 s will constitute a current of:
The resistance of a wire at 0 °C is 4 \(\Omega\). If the temperature coefficient of resistance of the material of the wire is \(5 \times 10^{-3} / ^\circ C\), then the resistance of a wire at 50 °C is:
If the fundamental frequency of the stretched string of length 1 m under a given tension is 3 Hz, then the fundamental frequency of the stretched string of length 0.75 m under the same tension is:
A wave with a frequency of 600 Hz and wavelength of 0.5 m travels a distance of 200 m in a time of:
All real gases behave like an ideal gas at:
When heat is supplied to the gas in an isochoric process, the supplied heat changes its:
The stress required to produce a fractional compression of 1.5% in a liquid having bulk modulus of \( 0.9 \times 10^9 \, {Nm}^{-2} \) is:
The terminal velocity of a small steel ball falling through a viscous medium is:
The force of gravity is a:
The escape speed of the moon when compared with escape speed of the earth is approximately:
A flywheel ensures a smooth ride on the vehicle because of its:
The motion of a cylinder on an inclined plane is:
A particle is displaced from P \( (3i + 2j - k) \) to Q \( (2i + 2j + 2k) \) by a force \( \mathbf{F} = i + j + k \). The work done on the particle (in J) is:
A block of 50 g mass is connected to a spring of spring constant 500 Nm\(^{-1}\). It is extended to the maximum and released. If the maximum speed of the block is 3 ms\(^{-1}\), then the length of extension is:
Impending motion is opposed by:
Which one is an INCORRECT statement?
A ball is thrown vertically upwards with an initial speed of 20 ms\(^{-1}\). The velocity (in ms\(^{-1}\)) and acceleration (in ms\(^{-2}\)) at the highest point of its motion are respectively:
When a cricketer catches a ball in 30 s, the force required is 2.5 N. The force required to catch that ball in 50 s is:
If the initial speed of the car moving at constant acceleration is halved, then the stopping distance \( S \) becomes:
The angle between \( \vec{A} \times \vec{B} \) and \( \vec{B} \times \vec{A} \) is:
If the time period \( T \) of a satellite revolving close to the earth is given as \( T = 2\pi R^a g^b \), then the value of \( a \) and \( b \) are respectively (where \( R \) is the radius of the earth):
The equation of motion of a damped oscillator is given by \( m\frac{d^{2}x}{dt^{2}}+b\frac{dx}{dt}+kx=0 \). The dimensional formula of \( \frac{b}{\sqrt{km}} \) is