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A string of length L, fixed at its both ...

A string of length L, fixed at its both ends is vibrating in its `1^(st)` overtone mode. Consider two elements of the string of the same small length at positions `l_(1)=0.2L"and"l_(2)=0.45L` from one end.
If `K_(1)"and" K_(2)` are their respective maximum kinetic energies,then

A

`K_(1)=K_(2)`

B

`K_(1)gtK_(2)`

C

`K_(1)ltK_(2)`

D

it is not possible to decide the relation

Text Solution

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The correct Answer is:
B
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Knowledge Check

  • A string of length L fixed at its at its both ends is vibrating in its 1^(st) overtone mode. Consider two elements of the string of same small length at position l_1=0.2L and l_2=0.45L from one end. If K_1 and K_2 are their respective maximum kinetic energies then

    A
    `K_(1)=K_(2)`
    B
    `K_(1)gtK_(2)`
    C
    `K_(1)ltK_(2)`
    D
    it is not possible to decide the relation

  • A string of length L, fixed at its both ends is vibrating in its 1^(st) overtone mode. Consider two elements of the string of the same small length at positions l_(1)=0.2L"and"l_(2)=0.45L from one end. Follow situation of part (a) If K_(1) "and" K_(2) are respective force constants of their simple hrmonic motions, then

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  • A string of length L fixed at both ends vibrates in its first overtone. Then the wavelength will be

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