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A metal rod of length L is clamped at a ...

A metal rod of length L is clamped at a distance L/4 from one end. It is set into longitudinal vibrations by pulling on length - wise a resin cover cloth piece . The wavlength for fundamental mode of vibrations will be

A

L/4

B

3L/4

C

L

D

L/2

Text Solution

Verified by Experts

The correct Answer is:
C
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Knowledge Check

  • A sonometer wire of length L is plucked at a distance L//8 from one end then it vibrates with a minimum frequency n . If the same wire plucked at a distance L//6 from another end the minimum frequency with which it vibrates is

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    `(sqrt(3))/(2)n`
    B
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    C
    `(3n)/(4)`
    D
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  • A steel rod of length 100 cm is clamped at the middle. The frequency of the fundamental mode for the longitudinal vibrations of the rod is (Speed of sound in steel = 5 km s^(-1) )

    A
    1.5 KHz
    B
    2 KHz
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  • A granite rod of 60 cm length is clamped at its middle point and is set into longitudinal vibrations. The density of granite is 2.7 xx10^(3) kg//m^(3) and its Young’s modulus is 9.27 xx10^(10) Pa. What will be the fundamental frequency of the longitudinal vibrations ?

    A
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    B
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