List of top Physics Questions asked in IIT JAM

For a thermodynamic system, the coefficient of volume expansion \(\beta=\frac{1}{V}(\frac{∂V}{∂T})_P\) and compressibility \(K=-\frac{1}{V}(\frac{∂V}{∂P})_T\) , where V, T, and P are respectively the volume, temperature, and pressure. Considering that \(\frac{dV}{V}\) is a perfect differential, we get

Two digital inputs A and B are given to the following circuit. For A = 1, B = 0, the values of X and Y are :

In a dielectric medium of relative permittivity 5, the amplitudes of the displacement current and conduction current are equal for an applied sinusoidal voltage of frequency f = 1 MHz. The value of conductivity (in Ω^-1m^-1) of the medium at this frequency is

The phase velocity v_p of transverse waves on a one-dimensional crystal of atomic separation d is related to the wavevector k as
\(v_p=C\frac{\sin(kd/2)}{(kd/2)}\)
The group velocity of these waves is

In the circuit shown, assuming the current gain β = 100 and V_BE = 0.7 V, what will be the collector voltage V_C in V ?
Given : V_CC = 15 V, R₁ = 100 kΩ, R₂ = 50 kΩ, R_C = 4.7 kΩ, and R_E = 3.3 kΩ

In an extrinsic p-type semiconductor, which of the following schematic diagram depicts the variation of the Fermi energy level (E_F) with temperature (T) ?

The spectral energy density u_T(λ) vs wavelength (λ) curve of a black body shows a peak at λ = λ_max. If the temperature of the black body is doubled, then

A wave travelling along the x-axis with y representing its displacement is described by (𝑣 is the speed of the wave)

An objective lens with half angular aperture 𝛼 is illuminated with light of wavelength 𝜆. The refractive index of the medium between the sample and the objective is 𝑛. The lateral resolving power of the optical system can be increased by

A periodic function f(x) = x² for -π < x < π is expanded in a Fourier series. Which of the following statement(s) is/are correct ?

Which of the following schematic plots correctly represent(s) a first order phase transition occurring at temperature 𝑇=𝑇_c? Here 𝑔, 𝑠, 𝑣 are specific Gibbs free energy, entropy and volume, respectively

Temperature (T) dependence of the total specific heat (C_v) for a two dimensional metallic solid at low temperatures is

The plot of the function f(x) = ||x| - 1| is

For a particle moving in a general central force field, which of the following statement(s) is/are true?

Which of the following statements about the viscosity of a dilute ideal gas is correct ?

Which of the following statement(s) is/are true for a LC circuit with 𝐿=25 mH and 𝐶=4 µF?

For the following circuit, choose the correct waveform corresponding to the output signal (V_out). Given V_in = 5 sin(200πt) V, forward bias voltage of the diodes (D and Z) = 0.7 V and reverse Zener voltage = 3 V.

In the given circuit, with an ideal op-amp for what value of \(\frac{R_1}{R_2}\) the output of the amplifier V_out = V₂ - V₁ ?

The state of a harmonic oscillator is given as Ψ =\(\frac{1}{ √3}\) 𝜓₀ -\(\frac{1}{ √6}\) 𝜓₁+\(\frac{1}{ √2}\) 𝜓₂ , where 𝜓₀, 𝜓₁ and 𝜓₂ are the normalized wave functions of ground, first excited, and second excited states, respectively. Which of the following statement(s) is/are true?

For a cubic unit cell, the dashed arrow in which of the following figures represents the direction [220] ?

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).

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 a certain thermodynamic system, the internal energy U = PV and P is proportional to T². The entropy of the system is proportional to

The integral \(\iint(x^2+y^2)dxdy\) over the area of a disk of radius 2 in the xy plane is ___π.

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