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A wire having a linear density of 10^(-3...

A wire having a linear density of `10^(-3)` kg/m is stretched between two rigid supports. The tension in the wire is 25.6N . If the observed that the wire resonates at a frequency of 480 Hz and the next harmonic is found to be 640 Hz, then the length of the wire will be

A

0.25m

B

0.5m

C

0.33m

D

0.625m

Text Solution

Verified by Experts

The correct Answer is:
B
The difference between two successive harmonic is the fundamental frequency 'n'
`n_2-n_1 = (1)/(2l) sqrt(T/m)`
`l=(1)/(2xx160) sqrt((25.6)/(10^(-3))) = 0.5m`
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