Two identical wires of length `l and 2l` vibrate with fundamental frequencies 100 Hz and 150 Hz respectively. What is the ration of their tensions?

Question

Two identical wires of length `l and 2l` vibrate with fundamental frequencies 100 Hz and 150 Hz respectively. What is the ration of their tensions?

Two identical wires of length `l and 2l` vibrate with
fundamental frequencies 100 Hz and 150 Hz
respectively. What is the ration of their tensions?
A. 9
B. 11
C. 8
D. 6

Monjur Alahi

4 views

2025-01-04 04:42

1 Answers

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Salim Ahmed Kawsar · Accepted Answer · 2023-02-05T15:29:48+06:00

Salim Ahmed Kawsar

Correct Answer - a
Let ` mu_(1)=mu_(2)=mu`
`rArr v_(1)=100 = 1/(2L) sqrt(T_(1)/mu)`
`rArrv_(2)=150=1/(2(2L))sqrt(T_(2)/mu)`
`v_(1)/v_(2)=100/150=2sqrt(T_(1)/T_(2))`
or `T_(1)/T_(2)=(10/30)^(2)=1/9`
or `T_(2)=9T_(1)`

4 views Answered 2023-02-05 15:29