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A wire having a linear mass density 5xx1...

A wire having a linear mass density `5xx10^(-3)` kg/m is stretched between two rigid supports with a tension of 450 N. The wire resibate at a frequency of 420 Hz. The next higher frequency at which the same wire resonates is 490 Hz. Find the length of wire -

A

2.1 m

B

1.05 m

C

4.2 m

D

None of these

Text Solution

Verified by Experts

The correct Answer is:
1

`420=(n)/(2L)sqrt((F)/(mu))`
`490=((n+1))/(2L)sqrt((F)/(mu))`
on solving
n=6
By (i)
L=2.1 m
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