Question: In a certain gas, the ratio of specific heats γ=CpCv\gamma = \frac{C_p}{C_v}γ=Cv​Cp​​ is given as 1.67. This gas is most likely:

Question: A wave pulse traveling on a string is described by y(x,t)=Ae−x24cos⁡(2πvt)y(x,t) = A e^{-\frac{x^2}{4}} \cos(2\pi vt)y(x,t)=Ae−4x2​cos(2πvt). The speed of the wave is:

Question: The critical temperature TcT_cTc​ for a superconductor depends on:

Question: A hollow spherical shell and a solid sphere of the same mass and radius are released from rest at the same height. Which will reach the ground first?

Question: A particle moves in a potential field V(x)=kx4V(x) = kx^4V(x)=kx4 where $k$ is a constant. The force acting on the particle is given by:

What is the formula that links a metal's resistivity (ρ\rhoρ) to its thermal conductivity?

Question: A beam of light passes through a glass prism and the angle of deviation is found to be 30∘30^\circ30∘. The angle of the prism is 60∘60^\circ60∘. The refractive index $n$ of the prism material is:

Question: In a cyclic process, the net work done is equal to:

Question: The resonant frequency of an LC circuit is given by:

Question: A particle in a one-dimensional box of length $L$ has its first excited state energy E2E_2E2​. The energy of the ground state is:

Question: The following formula provides the Doppler effect for sound:

Question: For a particle executing simple harmonic motion, the relationship between displacement x, velocity v, and acceleration a can be expressed as:

Question: When a particle moves in simple harmonic motion, when does its acceleration reach its maximum?

Question: In a distance of ddd, an automobile accelerates uniformly from rest to a speed of vvv. The amount of time needed to go this distance is:

Question: What is the expression for the velocities following an elastic collision between two bodies in a system?

Question: The natural frequency of a damped oscillator is given by:

Question: In a single-slit experiment, the angle of diffraction is given by:

Question: Is the induced electromagnetic field (EMF) of a ring placed in a uniform magnetic field?

Question: A particle is moving in a potential V(x)=kx4V(x) = kx^4V(x)=kx4 (where k is a positive constant). If the total energy of the particle is E, the turning points of the motion are given by:

Question: A conductor carries a current $I$ in a magnetic field $B$ at an angle $\theta$. The magnetic force F on the conductor is given by:

Question: The threshold frequency f0f_0f0​ for photoelectric effect is determined by:

Question: In a closed system undergoing a cyclic process, the first law of thermodynamics states:

Question: In an ideal gas undergoing an isothermal expansion, the work done by the gas is given by:

Question: The angular momentum of a particle about a point is defined as:

Question: In a sound wave, the speed of sound in a medium depends on:

Question 26: Mechanics
A block of mass
𝑚
m is placed on a rough horizontal surface. The coefficient of static friction between the block and the surface is
𝜇
𝑠
μ
s
​
. If a horizontal force
𝐹
F is applied to the block, what is the maximum value of
𝐹
F that can be applied without moving the block?

Question 27: Electromagnetism
A wire carries a current
𝐼
I and is bent into the shape of a circle of radius
𝑟
r. What is the magnetic field
𝐵
B at the center of the circle?

Question 28: Thermodynamics
A gas is expanded isothermally from volume
𝑉
1
V
1
​
to volume
𝑉
2
V
2
​
. If the initial pressure of the gas is
𝑃
1
P
1
​
, what is the work done by the gas during this expansion?

Question 29: Waves
A string fixed at both ends vibrates in its third harmonic mode. If the length of the string is
𝐿
L, what is the wavelength of the wave on the string?

Question 30: Modern Physics
In the photoelectric effect, the work function of a material is
𝑊
W. If light of frequency
𝜈
ν is incident on the material, what is the kinetic energy
𝐾
𝐸
KE of the emitted electrons?