List of top Physics Questions

A particle of mass $m$ is moving in the potential
\[ V(x) = \begin{cases} V_0 + \frac{1}{2} m \omega_{0P}^2 x^2 & \quad \text{if } x > 0 \\ \infty & \quad \text{if } x \leq 0 \end{cases} \]
Figures P, Q, R, and S show different combinations of the values of $ \omega_0 $ and $ V_0 $.

In the x-y plane, a vector is given by
$\overrightarrow𝐹 (𝑥, 𝑦) = \frac{−𝑦𝑥̂ + 𝑥𝑦̂}{𝑥^ 2 + 𝑦^2} . $
The magnitude of the flux of $\overrightarrow∇ ×\overrightarrow 𝐹$ , through a circular loop of radius 2, centered at the origin, is:

Consider a thick biconvex lens (thickness t=4cm and refractive index n=1.5) whose magnitudes of the radii of curvature R1 and R2, of the first and second surfaces are 30cm and 20cm, respectively. Surface 2 is silvered to act as a mirror. A point object is placed at point A on the axis (OA= 60cm) as shown in the figure. If its image is formed at point Q, the distance d between O and Q is_____ cm. (Rounded off to two decimal places)

A region in the form of an equilateral triangle (in x-y plane) of height $ L $ has a uniform magnetic field $ \mathbf{B} $ pointing in the $ +z $-direction. A conducting loop PQR, in the form of an equilateral triangle of the same height $ L $, is placed in the x-y plane with its vertex $ P $ at $ x = 0 $ in the orientation shown in the figure. At $ t = 0 $, the loop starts entering the region of the magnetic field with a uniform velocity $ \mathbf{v} $ along the $ +x $-direction. The plane of the loop and its orientation remain unchanged throughout its motion.

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Which of the following graphs best depicts the variation of the induced emf ($ \mathcal{E} $) in the loop as a function of the distance ($ x $) starting from $ x = 0 $?

An infinitely long thin wire, having a uniform charge density per unit length of $5 \, \text{nC/m}$, is passing through a spherical shell of radius $1 \, \text{m}$, as shown in the figure. A $10 \, \text{nC}$ charge is distributed uniformly over the spherical shell. If the configuration of the charges remains static, the magnitude of the potential difference between points $P$ and $R$, in Volt, is ______. \[ \text{(Given: In SI units } \frac{1}{4\pi\epsilon_0} = 9 \times 10^9, \ln 2 = 0.7). \] Ignore the area pierced by the wire.

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The ratio of the wavelengths of the first and second Balmer lines of the hydrogen spectrum is:

A proton and an alpha particle are moving with kinetic energies of 4.5 MeV and 0.5 MeV respectively. The ratio of the de Broglie wavelengths of the proton and alpha particle is:

A magnetron valve is used to produce:

A coil having 0.64 mH inductance and 0.8 $\Omega$ resistance connected to a battery of 12 V. The energy stored in the magnetic field created by that coil is:

Relative permeability ($\mu_r$) of a sample is given by $1<\mu_r<1 + \epsilon$, where $\epsilon$ is a small positive number. Then the nature of the sample is:

In a Galvanometer, if the number of turns in the coil are doubled, then the electrical current sensitivity will be:

Two like charges are separated in air by a certain distance. The air is replaced with a dielectric medium of constant $ K $. Then the repulsive force between them:

In Young's double slit experiment, the intensity on the screen where the path difference between the two interfering waves is $ \frac{\lambda}{4} $ is $ K $. What will be the intensity at the point where the path difference is $ \frac{\lambda}{4} $?

At a given temperature, arrange the gases hydrogen, oxygen, nitrogen in the order of maximum rms speeds:

Which of the following is incorrect regarding the first law of thermodynamics?

The reading of a pressure-meter attached to a closed pipe (with water) is $3.5 \times 10^5 \, {Nm}^{-2}$. On opening the valve of the pipe, the reading is reduced to $3.0 \times 10^5 \, {Nm}^{-2}$. The speed of the water flowing out the pipe is:

The blocks A and B weighing 100 N and 250 N respectively are placed one over the other as shown in the figure. Block B rests on a smooth surface. The coefficient of static friction between A and B is 0.4. When $ F = 250 \, {N} $, the acceleration of the upper block is (Take acceleration due to gravity, $ g = 10 \, {m/s}^2 $):

The period of oscillation of a particle in simple harmonic motion is 4 s, and its amplitude is 4 cm. Then the distance of the particle in $ \frac{1}{3} $ seconds after passing the mean position is:

A simple pendulum with a bob of mass $ m $ and density $ \rho $ and length $ l $ is immersed in a liquid of density $ \sigma $. If it makes small oscillations, then the time period of the pendulum is:

A motor car is moving at 40 m/s on a circular road of radius 400 m. If its speed is increasing at the rate of 3 m/s², then its acceleration is:

Direct solar energy is incident on the horizontal surface at an average rate of 200 W/m². If 20% of this energy can be converted to useful electrical energy, how much area is needed to supply 8 kW?

The momentum of a body of mass 2 kg is 10 kg m/s. A force 2 N acts on the body in the direction of motion for 5 s. The increase in kinetic energy is:

Two resistors of resistances $ (20 \pm 0.2) \, \Omega $ and $ (10 \pm 0.1) \, \Omega $ are connected in series. The equivalent resistance of the combination is:

The maximum distance between the transmitting and receiving antennas for satisfactory communication in line of sight mode is 57.6 km. If the height of the receiving antenna is 80 m, the height of the transmitting antenna is (Radius of Earth = $ 6.4 \times 10^6 $ m):

Four logic gates are connected as shown in the figure. If the inputs are $ A = 0, B = 1, C = 1 $, then the values of $ y_1 $ and $ y_2 $ respectively are: