NEET UG 2023 — Waves & Oscillations

The $4^{\text {th }}$ overtone of a closed organ pipe is same as that of $3^{\text {rd }}$ overtone of an open pipe. The ratio of the length of the closed pipe to the length of the open pipe is:

The $x-t$ graph of a particle performing simple harmonic motion is shown in the figure. The acceleration of the particle at $t=2s$ is: 

The ratio of frequencies of fundamental harmonic produced by an open pipe to that of closed pipe having the same length is:

A simple pendulum oscillating in air has a period of $\sqrt{3} \mathrm{~s}$. If it is completely immersed in non-viscous liquid, having density $\left(\frac{1}{4}\right)^{\text {th }}$ of the material of the bob, the new period will be