A uniform metal wire has length ' $L$ ', mass ' $M$ ' and area of cross-section ' A '. It is under tension ' $T$ ' and ' $V$ ' is the speed of transverse wave along the wire. The density of the wire is

A transverse wave is moving along a string. The linear density of a vibrating string is $2 \times 10^{-3} \mathrm{~kg} / \mathrm{m}$. The wave equation is $y=0.02 \sin (2 x+10 t) m$. The tension in the string is

An open organ pipe and a closed organ pipe have the frequency of their second overtone identical. The ratio of length of closed pipe to that of open pipe is (Neglect end correction)

A wave is travelling in the negative x direction having displacement 3 cm along Y direction, wavelength $2 \pi \mathrm{~m}$ and frequency $\left(\frac{1}{2 \pi}\right) \mathrm{Hz}$ is represented as ( $t=$ time)