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For a string, tied with two fixed rigid ...

For a string, tied with two fixed rigid supports, scparated by 75 cm has two consecutive harmonics at 315 Hz and 420 Hz. Find its minimum frequency.

A

105 Hz

B

155 Hz

C

205 Hz

D

`10.5` Hz

Text Solution

Verified by Experts

The correct Answer is:
A
Two consecutive harmonics, `f _(n) = n f _(1)`
`f _(n +1) =(n +1) f _(1)`
`therefore f_( n+1) - f _(n) = f _(1)`
`therefore f _(1) = 420 - 315 = 105 Hz`
`therefore f _(min) = f _(1) = 105 Hz`
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KUMAR PRAKASHAN-WAVES-SECTION-E (Multiple Choice Questions (MCQs)) (MCQs asked in Gujarat Board and Competitive Exams)
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