List of top Physics Questions asked in Indian Institute Of Technology Joint Admission Test for MSc

A rod with a proper length of 3 m moves along x-axis, making an angle of 30° with respect to the x-axis. If its speed is $\frac{c}2m/s$, where c is the speed of light, the change in length due to Lorentz contraction is _________ m (Round off to 2 decimal places). [Use $c = 3 x 10^8 m/s$]

Consider the Bohr model of hydrogen atom. The speed of an electron in the second orbit (n = 2) is ________ $x 10^6 m/s$ (Round off to 2 decimal places). [Use $h = 6.63 x 10^{-34} Js,\,\, e = 1.6 x 10^{-19} C, \,\,\epsilon _0 = 8.85 x 10^{-12} C^2m^2/N$]

Which one of the following figures correctly depicts the intensity distribution for Fraunhofer diffraction due to a single slit? Here, x denotes the distance from the centre of the central fringe and I denotes the intensity.

A normal human eye can distinguish two objects separated by 0.35 m when viewed from a distance of 1.0 km. The angular resolution of eye is _________ seconds (Round off to the nearest integer).

Consider a classical ideal gas of N molecules in equilibrium at temperature T. Each molecule has two energy levels, -∈ and ∈. The mean energy of the gas is

A satellite is revolving around the Earth in a closed orbit. The height of the satellite above Earth's surface at perigee and apogee are 2500 km and 4500 km, respectively. Consider the radius of the Earth to be 6500 km. The eccentricity of the satellite's orbit is ________ (Round off to 1 decimal place).

For the given operational amplifier circuit R₁ = 120 Ω, R₂ = 1.5 k and V_s = 0.6 V, then the output current I₀ is ____mA.

The equation \(z^2+\bar{z}^2=4\) in the complex plane (where \(\bar{z}\) is the complex conjugate of z) represents

A rocket (S') moves at a speed \(\frac{c}{2}\)m/s along the positive x-axis, where c is the speed of light. When it crosses the origin, the clocks attached to the rocket and the one with a stationary observer (S) located at x = 0 are both set to zero. If S observes an event at (x, t), the same event occurs in the S' frame at

The resultant of the binary subtraction 1110101-0011110 is

At a temperature T, let \(\beta\) and \(\kappa\) denote the volume expansivity and isothermal compressibility of a gas, respectively. Then \(\frac{\beta}{\kappa}\) is equal to

Consider a unit circle C in the xy plane with center at the origin. The line integral of the vector field, $ \overrightarrow{F}(x, y, z) = -2y-3z\hat{y} + x\hat{z}$, taken anticlockwise over C is _________ π.

The current through a series RL circuit, subjected to a constant emf \(\epsilon\), obeys \(L\frac{di}{dt}+iR=\epsilon\). Let L=1mH, R=1k\(\Omega\) and \(\epsilon\)=1V. The initial condition is i(0)=0. At t=1\(\mu s\), the current in mA is

Consider a particle of mass m moving in a plane with a constant radial speed \(\dot{r}\) and a constant angular speed \(\dot{\theta}\). The acceleration of the particle in (r,\(\theta\)) coordinates is

A particle is subjected to two simple harmonic motions along the x and y axes, described by x(t) = \(\alpha\)sin(2\(\omega\)t + π) and y(t) = 2\(\alpha\) sin(\(\omega\)t). The resultant motion is given by

The dispersion relation for certain type of waves is given by \(\omega=\sqrt{k^2+a^2}\), where k is the wave vector and a is a constant. Which one of the following sketches represents v_g, the group velocity?

Consider a conical region of height h and base radius R with its vertex at the origin. Let the outward normal to its base be along the positive z-axis, as shown in the figure. A uniform magnetic field, \(\overrightarrow{B}=B_0\hat{z}\) exists everywhere. Then the magnetic flux through the base (\(\Phi_b\)) and that through the curved surface of the cone (\(\Phi_c\)) are

A uniform magnetic field \(\overrightarrow{B}=B_0\hat{z}\), where \(B_0\gt0\) exists as shown in the figure. A charged particle of mass m and charge \(q(q\gt0)\) is released at the origin, in the yz-plane, with a velocity \(\overrightarrow v\) directed at an angle \(\theta\)= 45° with respect to the positive z-axis. Ignoring gravity, which one of the following is TRUE.

A planet of mass m moves in an elliptical orbit. Its maximum and minimum distances from the Sun are R and r, respectively. Let G denote the universal gravitational constant, and M the mass of the Sun. Assuming M >> m, the angular momentum of the planet with respect to the center of the Sun is

A radioactive nucleus has a decay constant \(\lambda\) and its radioactive daughter nucleus has a decay constant 10\(\lambda\). At time t = 0, N₀ is the number of parent nuclei and there are no daughter nuclei present. N₁(t) and N₂(t) are the number of parent and daughter nuclei present at time t, respectively The ratio \(\frac{N_2(t)}{N_1(t)}\) is

For an ideal intrinsic semiconductor, the Fermi energy at 0 K

In a dilute gas, the number of molecules with free path length ≥ x is given by N(x) = N₀e^-x/λ, where N₀ is the total number of molecules and A is the mean free path. The fraction of molecules with free path lengths between λ and 2λ is

The function f(x) = e^sinx is expanded as a Taylor series in x, around x = 0, in the form f(x) = \(\sum^{\infin}_{n=0}a_nx^n\). The value of a₀ + a₁ + a₂ is

A square laminar sheet with side a and mass M, has mass per unit area given by \(\sigma(x)=\sigma_0[1-\frac{x}{a}]\), (see figure). Moment of inertia of the sheet about y-axis is

Consider a binary number with m digits, where m is an even number. This binary number has alternating 1's and 0's, with digit 1 in the highest place value. The decimal equivalent of this binary number is