If $n_1 , n_2$ and $n_3$ are the fundamental frequencies of three segments into which a string is divided, then the original fundamental frequency $n$ of the string is given by
$n=n_1+n_2+n_3$
$\sqrt {{n_{}}} $=$\sqrt {{n_1}} + \sqrt {{n_2}} $+$\sqrt {{n_3}} $
$\frac{1}{n}$ =$\frac{1}{{{n_1}}}$ + $\frac{1}{{{n_2}}}$ +$\frac{1}{{{n_3}}}$
$\frac{1}{{\sqrt {{n_{}}} }}$=$\frac{1}{{\sqrt {{n_1}} }}$+$\frac{1}{{\sqrt {{n_2}} }} + \frac{1}{{\sqrt {{n_3}} }}$
A string fixed at one end is vibrating in its second overtone. The length of the string is $10\ cm$ and maximum amplitude of vibration of particles of the string is $2\ mm$ . Then the amplitude of the particle at $9\ cm$ from the open end is
The equation of transverse wave in stretched string is $y = 5\,\sin \,2\pi \left[ {\frac{t}{{0.04}} - \frac{x}{{50}}} \right]$ Where distances are in cm and time in second. The wavelength of wave is .... $cm$
A uniform string suspended vertically. A transverse pulse is created at the top most of the string. Then
The speed of sound in oxygen $(O_2)$ at a certain temperature is $460\, ms^{-1}$. The speed of sound in helium $(He)$ at the same temperature will be ............. $\mathrm{m/s}$ (assume both gases to be ideal)
Given below are some functions of $x$ and $t$ to represent the displacement (transverse or longitudinal) of an elastic wave. State which of these represent a travelling wave