List of practice Questions

A square loop of sides $ a = 1 \, {m} $ is held normally in front of a point charge $ q = 1 \, {C} $. The flux of the electric field through the shaded region is $ \frac{5}{p} \times \frac{1}{\varepsilon_0} \, {Nm}^2/{C} $, where the value of $ p $ is:

A river is flowing from west to east direction with speed of $9$ km/hr. If a boat capable of moving at a maximum speed of $27$ km/hr in still water, crosses the river in half a minute, while moving with maximum speed at an angle of $150^\circ$ to direction of river flow, then the width of the river is:

For a short dipole placed at origin O, the dipole moment P is along the X-axis, as shown in the figure. If the electric potential and electric field at A are V and E respectively, then the correct combination of the electric potential and electric field, respectively, at point B on the Y-axis is given by:

The electrostatic potential on the surface of a uniformly charged spherical shell of radius $ R = 10 \, \text{cm} $ is 120 V. The potential at the centre of the shell, at a distance 5 cm from the centre, and at a distance 15 cm from the centre of the shell are:

Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R).
Assertion (A): Refractive index of glass is more than air.
Reason (R): Optical density of a medium is directly related to its mass density.
In the light of the above statements, choose the correct answer from the options given below.

From the combination of resistors with resistance values $ R_1 = R_2 = R_3 = 5 \, \Omega $ and $ R_4 = 10 \, \Omega $, which of the following combination is the best circuit to get an equivalent resistance of 6 $ \Omega $?

A series LCR circuit is connected to an alternating source of emf $ E $. The current amplitude at resonance frequency is $ I_0 $. If the value of resistance $ R $ becomes twice of its initial value, then amplitude of current at resonance will be:

A Carnot engine (E) is working between two temperatures 473K and 273K. In a new system two engines - engine $E_1$ works between 473K to 373K and engine $E_2$ works between 373K to 273K. If $\eta_{12}$, $\eta_1$ and $\eta_2$ are the efficiencies of the engines $E$, $E_1$ and $E_2$, respectively, then:

A rectangular metallic loop is moving out of a uniform magnetic field region to a field-free region with a constant speed. When the loop is partially inside the magnetic field, the plot of the magnitude of the induced emf $ (\varepsilon) $ with time $ (t) $ is given by: \includegraphics[width=1\linewidth]{3.png}

An object of mass $ m $ is projected from the origin in a vertical $ xy $-plane at an angle $ 45^\circ $ with the x-axis with an initial velocity $ v_0 $. The magnitude and direction of the angular momentum of the object with respect to the origin, when it reaches the maximum height, will be:

A massless spring gets elongated by amount $ x_1 $ under a tension of 5 N. Its elongation is $ x_2 $ under the tension of 7 N. For the elongation of $ 5x_1 - 2x_2 $, the tension in the spring will be:

Given below are two statements. One is labelled as Assertion (A) and the other is labelled as Reason (R):
Assertion (A): An electron in a certain region of uniform magnetic field is moving with constant velocity in a straight line path.
Reason (R): The magnetic field in that region is along the direction of velocity of the electron.
In the light of the above statements, choose the correct answer from the options given below: