Physics - Sound Wave Question with Solution | TestHub

PhysicsSound WaveStanding waveHard2 minPYQ_2020
PhysicsHardnumerical

A25 cmlong string is fixed at both ends. It has a mass of2.5 gand vibrates in its first overtone under tension. Also given is a closed pipe which is30 cmlong which vibrates in its fundamental frequency. When both of these are sounded simultaneously,8beats per second are heard. It is also observed that decreasing the tension in the string also decreases the beat frequency. What is the tension (inN) in the string? [Given, speed of sound in air is360 ms-1]

Answer:
59.29
Solution:

μ=2.525=0.1g/cm=10-2kg/m
1st  overtone,

λs=25 cm=0.25 m
fs=1λsTμ


Pipe in fundamental frequency, λp4=0.3
λp=1.2m
fp=vsλp=3601.2=300 Hz

By decreasing the tension, beat
frequency is decreased.
  fs>fp

fs-fp=8

10.25T10-2-3601.2=8
10×10025T-300=8

T=308×251000

T=59.29 N

Stream:JEESubject:PhysicsTopic:Sound WaveSubtopic:Standing wave
2mℹ️ Source: PYQ_2020

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