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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........$cm$.
If velocity of sound in a gas is $360\, m/s$ and the distance between a compression and the nearest rarefaction is $1m$, then the frequency of sound is ..... $Hz$
The mass per unit length of a uniform wire is $0.135\, g / cm$. A transverse wave of the form $y =-0.21 \sin ( x +30 t )$ is produced in it, where $x$ is in meter and $t$ is in second. Then, the expected value of tension in the wire is $x \times 10^{-2} N$. Value of $x$ is . (Round-off to the nearest integer)
A train moving towards a hill at a speed of $72\ km/hr$ sounds a whistle of frequency $500\ Hz$ . A wind is blowing from the hill at a speed of $36\ km/hr$ . If the speed of sound in air is $340\ m/s$ , the frequency heard by a man on the hill (nearly) is ... $Hz$
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 ..... $cm$
Two tuning forks, $A$ and $B$, give $4$ beats per second when sounded together. The frequency of $A$ is $320 Hz.$ When some wax is added to $B$ and it is sounded with $A, 4$ beats per second are again heard. The frequency of $B$ is .... $Hz$
A train, standing in a station-yard, blows a whistle of frequency $400\,Hz$ in still air. The wind starts blowing in the direction from the yard to the station with a speed of $10\,ms^{-1}$ then value of frequency and speed of sound for observer will be (the speed of sound in still is $340\, ms^{-1}$ )