A wire is stretched between two fixed points separated by a distance of 2 m such that tension in it is equal to 30.25 kgwt. The wire vibrates in its first overtone. A closed organ pipe of length 53 m brought near the wire. The temperature of the gas in the pipe is 27∘C. When the organ pipe is made to vibrate in second overtone, five beats are heard every second. If the tension in the string is reduced slightly then the number of beats heard per second is reduced to three. Find the linear (mass) density of the wire in gram/metre. Given CPCv of gas in the organ pipe = 1.44 and its mean molar mass is 27.7 gm. Take the speed of sound as the nearest multiple of 10.

A wire is stretched between two fixed points separated by a distance o

1.	A wire is stretched between two fixed points separated by a distance of 2 m such that tension in it is equal to 30.25 kgwt. The wire vibrates in its first overtone. A closed organ pipe of length 53 m brought near the wire. The temperature of the gas in the pipe is 27∘C. When the organ pipe is made to vibrate in second overtone, five beats are heard every second. If the tension in the string is reduced slightly then the number of beats heard per second is reduced to three. Find the linear (mass) density of the wire in gram/metre. Given CPCv of gas in the organ pipe = 1.44 and its mean molar mass is 27.7 gm. Take the speed of sound as the nearest multiple of 10.
Answer» A wire is stretched between two fixed points separated by a distance of 2 m such that tension in it is equal to $30.25 kgwt$ . The wire vibrates in its first overtone. A closed organ pipe of length $\frac{5}{3} m$ brought near the wire. The temperature of the gas in the pipe is $27^{\circ} C$ . When the organ pipe is made to vibrate in second overtone, five beats are heard every second. If the tension in the string is reduced slightly then the number of beats heard per second is reduced to three. Find the linear (mass) density of the wire in gram/metre. Given $\frac{C_{P}}{C_{v}}$ of gas in the organ pipe = 1.44 and its mean molar mass is $27.7 gm$ . Take the speed of sound as the nearest multiple of 10.

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