NEET UG 2006 — Waves & Oscillations

Two sound waves with wavelengths 5.0 $\mathrm{m}$ and $5.5 \mathrm{~m}$ respectively, each propagate in a gas with velocity $330 \mathrm{~m} / \mathrm{s}$. We expect the following number of beats per second:

The time of reverberation of a room $\mathrm{A}$ is one second. What will be the time (in seconds) of reverberation of a room, having all the dimensions double of those of room $\mathrm{A}$ ?

Which one of the following statements is true?

A transverse wave propagating along $x$-axis is represented by $y(x, t)=8.0$ $\sin (0.5 \pi x-4 \pi t-\pi / 4)$ where $x$ is in metres and $t$ is in seconds. The speed of the wave is: