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Given M is the mass suspended from a spr...

Given `M` is the mass suspended from a spring of force constant. `k`.The dimensional formula for `[M//k]^(1//2)` is same as that for

A

frequency

B

time period

C

velocity

D

wavelength

Text Solution

Verified by Experts

The correct Answer is:
B
Here `[K] = "force"//"length" = ML^(0)T^(-2)`
Hence `[(M)/(k)]^(1//2) = M^(0) L^(0) T`
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Knowledge Check

  • A block of mass m is suspended by different springs of force constant shown in figure.

    A
    `T_(1)=T_(2)=T_(4)`
    B
    `T_(1)=T_(2) and T_(3)=T_(4)`
    C
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    A
    `(1)/(2) , (1)/(2)`
    B
    ` -(1)/(2) , -(1)/(2)`
    C
    `(1)/(2) , - (1)/(2)`
    D
    `- (1)/(2) , (1)/(2)`

  • Two masses M and m are suspended together by massless spring of force constant -k. When the masses are in equilibrium, M is removed without disturbing the system. The amplitude of oscillations.

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