Two waves are propagating along a taut string that coincides with the $x-$axis. The first wave has the wave function $y_1 = A cos [k(x - vt)]$ and the second has the wave function $y = A cos [k(x + vt) + \phi ]$.
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A metal rod of $1\; m$ length, is dropped exact vertically on to a hard metal floor. With an oscilloscope, it is determined that the impact produces a longitudinal wave of $1.2 \;k Hz$ frequency. The speed of sound in the metal rod is
The apparent frequency of a note, when a listener moves towards a stationary source, with velocity of $40 m/s$ is $200 Hz$. When he moves away from the same source with the same speed, the apparent frequency of the same note is $160 Hz$. The velocity of sound in air is (in $m/s$)
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 second harmonic has to be generated in a string of length $l$ stretched between two rigid supports. The point where the string has to be plucked and touched are
A pipe $30 cm$ long is open at both ends. Which harmonic mode of the pipe is resonantly excited by a $1.1 kHz$ source ? (Take speed of sound in air =$ 330 ms^{-1}$)
Sound waves of frequency $660 \,\,Hz$ fall normally on a perfectly reflecting wall. The shortest distance from the wall at which the air particle has maximum amplitude of vibration is .... $m$ (velocity of sound in air is $330 \,\,m/s$)
Two superimposing waves are represented by equation $y_1=2 \sin 2 \pi(10 t-0.4 x)$ and $y_2=4 \sin 2 \pi(20 t-0.8 x)$. The ratio of $I_{\max }$ to $I_{\min }$ is ........