To increase the frequency from $100 Hz$ to $400 Hz$ the tension in the string has to be changed by ..... $times$
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(b) $n \propto \sqrt T $
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If two waves of same frequency and same amplitude respectively, on superimposition produced a resultant disturbance of the same amplitude, the waves differ in phase by
Two sitar strings, $A$ and $B,$ playing the note $'Dha'$ are slightly out of tune and produce beats and frequency $5\,Hz.$ The tension of the string $B$ is slightly increased and the beat frequency is found to decrease by $3\,Hz$ . If the frequency of $A$ is $425\,Hz,$ the original frequency of $B$ is ... $Hz$
A transverse harmonic wave on a string is described by $y = 3 \sin \,(36t + 0.018x + \frac{\pi}{4})$ where $x$ and $y$ are in $cm$ and $t$ in $s$. The least distance between two sucessive crests in the wave is .... $m$
The transverse displacement in a streched string is given by
$y = 0.06 \sin \, \left( {\frac{{2\pi }}{3}x} \right)\cos \,(120\pi t)$
where $x$ and $y$ are in $m$ and $t$ is in $s$. The length of the string is $1.5\, m$ and its mass is $3.0 \times 10^{-2} \,kg$, then tension in string is ..... $N$
The string of a violin has a frequency of $440 \,cps$. If the violin string is shortened by one fifth, its frequency will be changed to ........... $cps$
The equation of displacement of two waves are given as ${y_1} = 10\sin \left( {3\pi t + \frac{\pi }{3}} \right)$; ${y_2} = 5(\sin 3\pi t + \sqrt 3 \cos 3\pi t)$. Then what is the ratio of their amplitudes
If the velocity of sound in air is $350 m/s$. Then the fundamental frequency of an open organ pipe of length $50\,cm,$ will be ............... $\mathrm{Hz}$