When a tuning fork of frequency $341$ is sounded with another tuning fork, six beats per second are heard. When the second tuning fork is loaded with wax and sounded with the first tuning fork, the number of beats is two per second. The natural frequency of the second tuning fork is
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A tuning fork vibrating with a sonometer having $20 cm$ wire produces $5$ beats per second. The beat frequency does not change if the length of the wire is changed to $21 cm.$ the frequency of the tuning fork (in Hertz) must be
The equation of a wave on a string oflinear mass density $0.04$ $kgm^{-1}$ is given by
$y = 0.02sin\left[ {2\pi \left( {\frac{t}{{0.04\left( s \right)}} - \frac{x}{{0.50\left( m \right)}}} \right)} \right]m$ The tension in the string is .... $N$
A wave represented by the given equation $Y = A\sin \left( {10\,\pi \,x + 15\,\pi \,t + \frac{\pi }{3}} \right)$, where $x$ is in meter and $t$ is in second. The expression represents
Spacing between two successive nodes in a standing wave on a string is $x$ . If frequency of the standing wave is kept unchanged but tension in the string is doubled, then new spacing between successive nodes will become
A tuning fork arrangement (pair) produces $4$ beats/sec with one fork of frequency $288\, cps$. A little wax is placed on the unknown fork and it then produces $2\; beats/sec$. The frequency of the unknown fork is .... $cps$
A wave pulse on a string has the dimension shown in figure. The waves speed is $v = 1 \,\,cm/s$. If point $O$ is a free end. The shape of wave at time $t = 3 \,\,s$ is :
A train moves towards a stationary observer with speed $34\, m/s$. The train sounds a whistle and its frequency registered by the observer is $f_1$. If the speed of the train is reduced to $17\, m/s$, the frequency registered is $f_2$. If speed of sound is $340\, m/s$, then the ratio $f_1/f_2$ is
The first overtone frequency of an open organ pipe is equal to the fundamental frequency of a closed organ pipe. If the length of the closed organ pipe is $20 \,cm$. The length of the open organ pipe is........$cm$.
A string is stretched between fixed points separated by $75.0\,\, cm.$ It is observed to have resonant frequencies of $420\,\, Hz$ and $315\,\, Hz$. There are no other resonant frequencies between these two. The lowest resonant frequency for this string is .... $Hz$