c Decibel $(dB)$, unit for expressing the ratio between two physical quantities, usually amounts of acoustic or electric power, or for measuring the relative loudness of sounds
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A cylindrical tube, open at both ends, has a fundamental frequency ${f_0}$ in air. The tube is dipped vertically into water such that half of its length is inside water. The fundamental frequency of the air column now is
An underwater sonar source operating at a frequency of $60 KHz$ directs its beam towards the surface. If the velocity of sound in air is $330\, m/s,$ the wavelength and frequency of waves in air are:
A second harmonic has to be generated in a string of length $l$ stretched between two rigid supports. The points where the string has to be plucked and touched are respectively
The equation of a stationary wave along a stretched string is given by $y = 5\,sin\, \frac{2\pi }{3}x\, cos\, 40\pi t$ where $x$ and $y$ are in $cm$ and $t$ is in $s$. The separation between two adjacent nodes is ..... $cm$
Equation of a progressive wave is given by $y = a\,\sin \pi \,\left[ {\frac{t}{2} - \frac{x}{4}} \right]\,,$ where $t$ is in seconds and $x$ is in meters. The distance through which the wave moves in $8 sec$ is .... $(m)$ (in meter)
An organ pipe $P_1$ closed at one end vibrating in its first overtone. Another pipe $P_2$ open at both ends is vibrating in its third overtone. They are in a resonance with a given tuning fork. The ratio of the length of $P_1$ to that of $P_2$ is :
A wave represented by the given equation $y = a\cos (kx - \omega \,t)$ is superposed with another wave to form a stationary wave such that the point $x = 0$ is a node. The equation for the other wave is