List of top Physics Questions

A force of 49 N acts tangentially at the highest point of a sphere (solid of mass 20 kg) kept on a rough horizontal plane. If the sphere rolls without slipping, then the acceleration of the center of the sphere is:

A convex lens of focal length $ f = 15\,cm $ forms a real image of a 6 cm tall object placed at 30 cm. Find the position, nature, and height of the image.

Define a wavefront. An incident plane wave falls on a convex lens and gets refracted through it. Draw a diagram to show the incident and refracted wavefront.

Two projectile protons $ P_1 $ and $ P_2 $, both with spin up (along the $ +z $-direction), are scattered from another fixed target proton $ T $ with spin up at rest in the $ xy $-plane, as shown in the figure. They scatter one at a time. The nuclear interaction potential between both the projectiles and the target proton is $ \hat{\lambda} \vec{L} \cdot \vec{S} $, where $ \vec{L} $ is the orbital angular momentum of the system with respect to the target, $ \vec{S} $ is the spin angular momentum of the system, and $ \lambda $ is a negative constant in appropriate units. Which one of the following is correct?

The dimensions of a physical quantity $ \epsilon_0 \frac{d\Phi_E}{dt} $ are similar to [Symbols have their usual meanings]

What is the dimensional formula of $ \frac{1}{\mu_0 \epsilon_0} $ (where $ \mu_0 $ is permeability and $ \epsilon_0 $ is permittivity of free space)?

The expression given below shows the variation of velocity $ v $ with time $ t $: \[ v = \frac{At^2 + Bt}{C + t} \] The dimension of $ A $, $ B $, and $ C $ is:

The equation for real gas is given by $ \left( P + \frac{a}{V^2} \right)(V - b) = RT $, where $ P $, $ V $, $ T $, and $ R $ are the pressure, volume, temperature and gas constant, respectively. The dimension of $ ab $ is equivalent to that of:

The dimensions of a physical quantity $ \epsilon_0 \frac{d\Phi_E}{dt} $ are similar to:

Which one of the following is the correct dimensional formula for the capacitance in F? M, L, T, and C stand for unit of mass, length, time, and charge.

Match List-I with List-II.

Choose the correct answer from the options given below :

Match List-I with List-II.

Choose the correct answer from the options given below:

Given a charge $ q $, current $ I $ and permeability of vacuum $ \mu_0 $. Which of the following quantity has the dimension of momentum?

Match List-I with List-II.

List-I
(A) Coefficient of viscosity
(B) Intensity of wave
(C) Pressure gradient
(D) Compressibility

List-II
(I) [ML^-1T^-1]
(II) [MT^-3]
(III) [ML^-2T^-2]
(IV) [M^-1LT²]

Which of the following phenomena cannot be explained by the wave theory of light?

The frequency of revolution of the electron in Bohr’s orbit varies with $ n $, the principal quantum number as:

A uniform rod of mass 250 g having length 100 cm is balanced on a sharp edge at the 40 cm mark. A mass of 400 g is suspended at the 10 cm mark. To maintain the balance of the rod, the mass to be suspended at the 90 cm mark is:

A uniform magnetic field of $ 0.4 $ T acts perpendicular to a circular copper disc $ 20 $ cm in radius. The disc is having a uniform angular velocity of $ 10\pi $ rad/s about an axis through its center and perpendicular to the disc. What is the potential difference developed between the axis of the disc and the rim? ($\pi = 3.14$)

A bar magnet has total length $ 2l = 20 $ units and the field point $ P $ is at a distance $ d = 10 $ units from the centre of the magnet. If the relative uncertainty of length measurement is 1%, then the uncertainty of the magnetic field at point P is:

An infinite wire has a circular bend of radius $ a $, and carrying a current $ I $ as shown in the figure. The magnitude of the magnetic field at the origin $ O $ of the arc is given by:

A conducting bar moves on two conducting rails as shown in the figure. A constant magnetic field $ B $ exists into the page. The bar starts to move from the vertex at time $ t = 0 $ with a constant velocity. If the induced EMF is $ E \propto t^n $, then the value of $ n $ is _____.

A bar magnet has total length $ 2l = 20 $ units and the field point $ P $ is at a distance $ d = 10 $ units from the centre of the magnet. If the relative uncertainty of length measurement is 1\%, then the uncertainty of the magnetic field at point P is:

A 400 g solid cube having an edge of length $10$ cm floats in water. How much volume of the cube is outside the water? (Given: density of water = $1000 { kg/m}^3$)

An electron with mass $ m $ with an initial velocity $ (t = 0) \, \vec{v} = \vec{v_0} \, (v_0>0) $ enters a magnetic field $ \vec{B} = B \hat{j} $. If the initial de-Broglie wavelength at $ t = 0 $ is $ \lambda_0 $, then its value after time $ t $ would be:

Consider a long thin conducting wire carrying a uniform current $ I $. A particle having mass $ M $ and charge $ q $ is released at a distance $ a $ from the wire with a speed $ v_0 $ along the direction of current in the wire. The particle gets attracted to the wire due to magnetic force. The particle turns round when it is at distance $ x $ from the wire. The value of $ x $ is: