NEET UG 2005 — Waves & Oscillations

A point source emits sound equally in all directions in a non-absorbing medium. Two points $\mathrm{P}$ and $\mathrm{Q}$ are at distances of 2 $\mathrm{m}$ and $3 \mathrm{~m}$ respectively from the source. The ratio of the intensities of the wave at $P$ and $Q$ is:

Two vibrating tuning forks produce progressive waves given $Y_1=4 \sin 500$ $\pi \mathrm{t}$ and $Y_2=2 \sin 506 \pi \mathrm{t}$. Number of beats produced per minute is:

A particle executing simple harmonic motion of amplitude $5 \mathrm{~cm}$ has maximum speed of $31.4 \mathrm{~cm} / \mathrm{s}$. The frequency of its oscillation is: