Two wires are fixed in a sonometer. Their tensions are in the ratio $8 : 1$. The lengths are in the ratio $36:35.$ The diameters are in the ratio $4 : 1$. Densities of the materials are in the ratio $1 : 2$. If the lower frequency in the setting is $360 Hz.$ the beat frequency when the two wires are sounded together is

If the fundamental frequency of string is $220 \,cps$, the frequency of fifth harmonic will be ……… $cps$

Two uniform strings $A$ and $B$ made of steel are made to vibrate under the same tension. if the first overtone of $ A$ is equal to the second overtone of $B$ and if the radius of $A$ is twice that of $B,$ the ratio of the lengths of the strings is

A standing wave exists in a string of length $150\ cm$ , which is fixed at both ends with rigid supports . The displacement amplitude of a point at a distance of $10\ cm$ from one of the ends is $5\sqrt 3\ mm$ . The nearest distance between the two points, within the same loop and havin displacment amplitude equal to $5\sqrt 3\  mm$ is $10\ cm$ . Find the maximum displacement amplitude of the particles in the string …. $mm$

A person is producing wave in string by moving his hand first up and then down. If frequency is $\frac{1}{8}\,Hz$ then find out time taken by particle which is at a distance of $9\,m$ from source to move to lower extreme first time …. $s$ . (Given $\lambda  = 24\, m$)