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A uniform wire of linear density 0.004 p...

A uniform wire of linear density 0.004 per kg-m, when stretched between two rigid supports, with a tension `3.6 xx 10^(2)` N, resonates with a frequency of 420 hz. The next harmonic frequency with which the wire resonates is 490 Hz. The length of the wire in metre is

A

`1.41`

B

`2.14`

C

`2.41`

D

`3.14`

Text Solution

Verified by Experts

The correct Answer is:
b
`n=1/(2l)sqrt(T/m)`
or `490-420=1/(2l)sqrt((3.6xx10^(2))/(0.004))`
or `70 = 1/(2l)xx300`
` rArr l=300/(2xx70)=2.14` m
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-STATIONARY WAVES -EXERCISE 1
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