List of top Physics Questions on Waves and Oscillations asked in IISER

Consider two pipes $A$ and $B$ of identical length. $A$ has one end closed and one end open. $B$ has both ends open. Each tube is immersed in a closed chamber of ideal gas having volume $V$. The chamber containing tube $A$ is at temperature $T_A$ and the chamber containing tube $B$ is at temperature $T_B$. The sound frequencies corresponding to the $n_A$-th harmonic in tube $A$ and the $n_B$-th harmonic in tube $B$ are the same. What is the relation between the temperatures $T_A$ and $T_B$?

A metallic cube initially kept at a temperature $T$ is emitting black body radiation with a power $P$ (energy emitted per unit time). If $T$ is increased by $1\%$, the power being radiated increases by $4.5\%$. What is the approximate percentage increase in the volume of the cube in this process?

Consider a simple pendulum undergoing simple harmonic motion with a time period \(T\), and a fixed amplitude \(\theta_0\) of angular oscillation. Its angular momentum about the point of suspension exhibits an oscillatory behavior with an amplitude \(A\). Which of the following relations between \(A\) and \(T\) is correct?

Consider a solid sphere of radius \(R\) floating in a pond with half of the sphere submerged. The sphere is pushed vertically downwards at the topmost point and released, such that it executes a simple harmonic motion. Acceleration due to gravity is \(g\). What is the time period of oscillation?

Consider the motion of a particle along the \(x\)-axis. The position of the particle varies with time \(t\) as \(x(t) = \sin^2(\omega t) \cos^3(\omega t)\), where \(\omega\) is a constant. What is the time period of the motion?