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Two indentical uniform rods each of mass...

Two indentical uniform rods each of mass `60kg` are hinged from the lowest points, and their upper ends are connected by a light wire of mass `0.01kg` and length `1m`. The system is in equilibrium such that the wire is always horizontal. A strong wind is blowing which causes the wire to vibrate in its `3^(rd)` ovetone. The frequency of the sound produced by the wire is:

A

`100Hz`

B

`200Hz`

C

`300Hz`

D

`400Hz`

Text Solution

Verified by Experts

The correct Answer is:
D
Applying torque balance on one rod
`(mg)(l/2)sin(53^(@))=(T)(l)sin(37^(@))impliesT=2/3mg`
`implies` Frequency of the wire
`4/(2l)sqrt(T/(mu))=4/(2xx1)sqrt((2/3xx60xx10)/(0.01))=400Hz`
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