List of top Physics Questions

The displacement of a particle varies with time as $ x = 4 \sin 3\omega t $. If its motion is simple harmonic, then its maximum acceleration is:

Time period of a simple pendulum in air is $ T $. If the pendulum is in water and executes SHM, its time period is $ t $. The value of $ \frac{T}{t} $ is [Density of bob is $ \frac{5000}{3} $ kg/m$^3$]

For a particle executing simple harmonic motion, match the following statements (conditions) from column I to statements (shapes of graph) in column II.

The displacement of a particle executing SHM is given by $ X = 0.01 \sin 100\pi (t + 0.05) $. The time period of the particle is:

The displacement of a particle executing simple harmonic motion is $ y = A \sin(2\pi t + \phi) \, \text{m} $, where $ t $ is time in seconds and $ \phi $ is the phase angle. At time $ t = 0 $, the displacement and velocity of the particle are 2 m and 4 ms^-1. The phase angle, $ \phi $ =

The displacement of a damped oscillator is $ x(t) = \exp(-0.2t) \cos(3.2t + \phi) $, where $ t $ is time in seconds. The time required for the amplitude of the oscillator to become $ \frac{1}{e^{1.2}} $ times its initial amplitude is

A body is executing simple harmonic motion. At a displacement $ x $, its potential energy is $ E_1 $, and at a displacement $ y $, its potential energy is $ E_2 $. The potential energy $ E $ at a displacement $ (x + y) $ is:

The displacement of a particle of mass $2g$ executing simple harmonic motion is \[ x = 8 \cos \left( 50t + \frac{\pi}{12} \right) \text{ m}, \] where $t$ is time in seconds. The maximum kinetic energy of the particle is:

A wire 0.5 m long and with a mass per unit length of 0.0001 kg/m vibrates under a tension of 4 N. The fundamental frequency is:

For a system executing simple harmonic motion,

Statement: The amplitude of an oscillating pendulum decreases gradually with time. Reason: The frequency of the pendulum decreases with time.

A particle is initially at the centre and going towards the left. Let $ T $ be the time period of the SHM it is undergoing. What will be its position and velocity at time $ 3T/4 $, if it starts from the centre at $ t = 0 $?

A body is executing SHM. When its displacements from the mean position are 4 cm and 5 cm, it has velocity 10 cm/s and 8 cm/s respectively. Its periodic time $ t $ is

A particle executes a simple harmonic motion of amplitude A. The distance from the mean position at which its kinetic energy is equal to its potential energy is:

1 tesla =

A long solenoid of length $75$ cm carries a current of $3.5$ A. If the number of turns of the solenoid is $600$, the magnitude of the magnetic field inside the solenoid is

Five charges, 'q' each are placed at the corners of a regular pentagon of side 'a' as shown in figure. First, charge from 'A' is removed with other charges intact, then charge at 'A' is replaced with an equal opposite charge. The ratio of magnitudes of electric fields at O, without charge at A and that with equal and opposite charge at A is

Three point charges are located on a circular arc at A, B and C as shown in the figure below. The total electric field at the centre of the arc (C) is

If potential (in volt) in a region is expressed as $ V(x, y, z) = 6xy - y + 2yz $, the electric field (in} $ \text{N/C} $ at point (1, 0, 1) is:

Two soap bubbles of volumes $ 27V $ and $ 64V $ coalesce under isothermal conditions. The volume of the bigger bubble formed is:

A liquid drop of radius $R = 0.1 \, \text{m}$ having surface tension $S = \frac{0.01}{4\pi} \, \text{N/m}$ divides itself into $n$ identical drops. In the process, the total change in the surface energy $\Delta U = 10^{-4} \, \text{J}$. The value of $n$ is

Consider an isolated system of two concentric spherical black bodies. The inner sphere of radius $ R $ is at temperature $ T $, and the outer sphere of radius $ 4R $ is at temperature $ 2T $. The rate of absorption of radiant energy by the outer sphere is:

What is the relation obeyed by the angles of contact $ \theta_1 $, $ \theta_2 $ and $ \theta_3 $ of 3 liquids of different densities $ P_1 $, $ P_2 $, and $ P_3 $ respectively $ (P_1<P_2<P_3) $ when they rise to the same capillary height in 3 identical capillaries and having nearly the same surface tension $ T $?

Unit of surface tension is:

When a particular wave length of light is used, the focal length of a convex mirror is found to be 10 cm. If the wavelength of the incident light is doubled keeping the area of the mirror constant, the focal length of the mirror will be: