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A uniform wire of length L, diameter D a...

A uniform wire of length `L`, diameter `D` and density `rho` is stretched under a tension `T`. The correct relation between its fundamental frequency `f`, the length `L` and the diameter `D` is

A

`f prop 1 /(LD)`

B

`f prop 1 /(Lsqrt(D))`

C

`f prop 1 /(D^(2))`

D

`f prop 1 /(LD^(2))`

Text Solution

Verified by Experts

The correct Answer is:
a
The fundamental frequency is `f=1/(2L)sqrt(T/mu)`
`f=1/(2L)sqrt(T/(ppiD^(2)/4))=1/(LD)sqrt(T/(pip))`
` therefore f prop1/(LD)`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-STATIONARY WAVES -EXERCISE 1
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  2. Two stratched strings of same material are vibrating under some tensio...

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  3. A uniform wire of length L, diameter D and density rho is stretched un...

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  4. To increase the frequency by 20%, the tension in the string vibrating ...

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  5. the frequency of a sonometer wire is 10 Hz. When the weight producing ...

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  6. When the length of the vibrating segment of a sonometer wire is incre...

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  7. Two forks A and B when sounded together produce four beats s^(-1). The...

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  8. A pipe of 60 cm long and open at both the ends produces harmonics. Whi...

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  9. If we study the vibration of a pipe open at both ends, then the follow...

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  10. Two organ pipes, each closed at one end, give 5 beats s^(-1) when emit...

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  11. The frequency of the first overtons of a closed pipe of length l(1) is...

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  12. Air is blown at the mouth of an open tube of length 25 cm and diamete...

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  13. A pipe opened at both ends prpduces a note of frequency f(1). When the...

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  14. A closed organ pipe of length 1.2 m vibrates in its first overtone mod...

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  15. An organ pipe P closed at one end vibrates in its first narmonic. Anot...

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  16. Two closed organ pipe A and B have the same length. A is wider than B....

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  17. If lambda(1), lambda(2), lambda(3) are the wavelengths of the waves gi...

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  18. An organ pipe is closed at one end has fundamental frequency of 1500 H...

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  19. Two closed organ pipes of length 100 cm and 101 cm 16 beats is 20 sec....

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  20. An open pipe is suddenly closed at one end with the result that the fr...

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