NEET UG 2015 — Waves & Oscillations

A particle is executing SHM along a straight line. Its velocities at distances ${x}_{1}$ and ${x}_{2}$ from the mean position are ${V}_{1}$ and ${V}_{2}$ respectively. Its time period is:

A string is stretched between fixed points separated by 75.0 cm. It is observed to have resonant frequencies of 420 Hz and 315 Hz. There are no other resonant frequencier between these two. The lowest resonant frequency for this string is:

A particle is executing a simple harmonic motion. Its maximum acceleration is $\alpha$ and maximum velocity is $\beta$. Then, its time period of vibration will be:

When two displacements represented by ${y}_{1}=a sin⁡(\omega t)$ and ${y}_{2}=b\mathrm{cos}⁡(\omega t)$ are superimposed the motion is:

The fundamental frequency of a closed organ pipe of length $20\mathrm{cm}$ is equal to the second overtone of an organ pipe open at both the ends. The length of the organ pipe open at both the ends is