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Planck's constant has the dimension (uni...

Planck's constant has the dimension (unit) of

A

Energy

B

Linear momentum

C

Work

D

Angular momentum

Text Solution

Verified by Experts

The correct Answer is:
d

We define energy of a `E = hf` here h is plank constant and f is the frequency
`h = (E )/(f) rArr [h] = ([E])/([f]) = ([ML^(2)T^(-2)])/([T^(-1)]) = [ML^(2)T^(-1)]`
We define angular momentum as `L = l omega`
`rArr [L] = [I][omega] = [ML^(2)][T^(-1)] = [ML^(2)T^(-1)]`
Hence `[h] = [L] = [ML^(2)T^(-1)]`
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Knowledge Check

  • Planck's constant has the dimensions of

    A
    Power
    B
    P.E.
    C
    Linear momentum
    D
    Angular momentum
  • Plancks' constant has the dimensions of

    A
    linear momentum
    B
    angular momentum
    C
    energy
    D
    power
  • Planck's constant has the units of

    A
    work
    B
    energy
    C
    angular momentum
    D
    linear momentum
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