A wave is given by the equation, $y=10\sin 2\pi \left(100t-0.02x\right)+10\sin 2\pi \left(100t+0.02x\right)$. Find the loop length, frequency, velocity and maximum amplitude of the stationary wave produced.

Find the fundamental frequency and the first four overtones of a $15 \mathrm{cm}$ pipe, if the pipe is closed at one end, if the speed of sound, $v=330 \mathrm{m} {\mathrm{s}}^{-1}$

Find the fundamental frequency and the first four overtones of a $15 \mathrm{cm}$ pipe, if the pipe is open at both ends.

Find the fundamental frequency and the first four overtones of a $15 \mathrm{cm}$ pipe. How many overtones may be heard by a person of normal hearing in each of the above cases? The velocity of sound in air $=330 \mathrm{m} {\mathrm{s}}^{-1}$. 

A tube closed at one end has a vibrating diaphragm at the other end, which may be assumed to be a displacement node. It is found that when the frequency of the diaphragm is $2000 \mathrm{Hz},$ a stationary wave pattern is set up in which the distance between adjacent nodes is $8 \mathrm{cm}.$ When the frequency is gradually reduced, the stationary wave pattern disappears,  but another stationary wave pattern reappears at a frequency of $1600 \mathrm{Hz}.$ Calculate the speed of sound in air,