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Two speakers connected to the same source of fixed frequency are placed $2.0 m $ apart in a box. A sensitive microphone placed at a distance of $4.0m$ from their midpoint along the perpendicular bisector shows maximum response. The box is slowly rotated until the speakers are in line with the microphone. The distance between the midpoint of the speakers and the microphone remains unchanged. Exactly five maximum responses are observed in the microphone in doing this. The wavelength of the sound wave is .... $m$
The equation of a progressive wave is $y = 0.02\,\sin \,2\pi \left[ {\frac{t}{{0.01}} - \frac{x}{{0.30}}} \right]$ Here $x$ and $y$ are in metre and $t$ is in second. The velocity of propagation of the wave is .... $ms^{-1}$
If in a stationary wave the amplitude corresponding to antinode is $4 \,cm$, then the amplitude corresponding to a particle of medium located exactly midway between a node and an antinode is ........... $cm$
A string in musical instrument is $50 cm$ long and its fundamental frequency is $800 Hz.$ If a frequency of $1000 Hz$ is to be produced, then required length of string is ..... $cm$
A string is rigidly tied at two ends and its equation of vibration is given by $y = \cos 2\pi \,t\sin \sin \pi x.$ Then minimum length of string is .... $m$
A rope of length $L$ and uniform linear density is hanging from the ceiling. A transverse wave pulse, generated close to the free end of the rope, travels upwards through the rope. Select the correct option.
A stone is dropped in a well which is $19.6\,m$ deep. Echo sound is heard after $2.06\, sec$ (after dropping) then the velocity of sound is .... $m/sec$