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On sounding tuning fork $A$ with another tuning fork $B$ of frequency $384 Hz, 6$ beats are produced per second. After loading the prongs of $A$ with some wax and then sounding it again with $B, 4$ beats are produced per second. What is the frequency of the tuning fork $A$ .... $Hz$
$4.0 \,g$ of a gas occupies $22.4$ litres at $NTP.$ The specific heat capacity of the gas at constant volume is $5.0 \,\,J K^{-1} mol^{-1}$. If the speed of sound in this gas at $NTP$ is $952\, m s^{-1}$, then the heat capacity at constant pressure is .... $J K^{-1} mol^{-1}$ (Take gas constant $R = 8.3 \,\,J K^{-1} mol^{-1}$)
The length of two open organ pipes are $l$ and $(l + \Delta l)$ respectively. Neglecting end correction, the frequency of beats between them will be approximately (Here $v$ is the speed of sound)
If the length of a stretched string is shortened by $40\%$ and the tension is increased by $44\%$, then the ratio of the final and initial fundamental frequencies is
A uniform string oflength $20\ m$ is suspended from a rigid support. A short wave pulse is introduced at its lowest end. It starts moving up the string. The time taken to reach the supports is (take $g= 10 $ $ms^{-2}$ )
The equation of stationary wave along a stretched string is given by $y = 5\sin \frac{{\pi x}}{3}\cos 40\pi t$, where $x $ and $y$ are in $cm$ and $t$ in second. The separation between two adjacent nodes is..... $cm$
For a certain organ pipe three successive resonance frequencies are observed at $425 \,\,Hz$, $595\,\, Hz$ and $765\,\, Hz$ respectively. If the speed of sound in air is $340 \,\,m/s$, then the length of the pipe is .... $m$
A man stands in front of a hillock and fires a gun. He hears an echo after $1.5\, sec$. The distance of the hillock from the man is ...... $m$ (velocity of sound in air is $330\, m/s$)
Two wires $W_1$ and $W_2$ have the same radius $r$ and respective densities ${\rho _1}$ and ${\rho _2}$ such that ${\rho _2} = 4{\rho _1}$. They are joined together at the point $O$, as shown in the figure. The combination is used as a sonometer wire and kept under tension $T$. The point $O$ is midway between the two bridges. When a stationary waves is set up in the composite wire, the joint is found to be a node. The ratio of the number of an tin odes formed in $W_1$ to $W_2$ is