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The dimensions of Planck's constant is t...

The dimensions of Planck's constant is the same as the product of

A

force and time

B

force, displacement and time

C

force and distance

D

time and displacement

Text Solution

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The correct Answer is:
B

The dimensions of planck's constant, ltbr. `[h]=[(E)/(v)] =[ML^(2)T^(-1)]`
force, `[F]=[MLT^(-2)]`
Displacement, `[d]=[L]`
Time `[t]=[T]`
`therefore [F][d][t]=[MLT^(-2)][L][T]=[ML^(2)T^(-1)]`
Hence, the dimensions of planck's constant is the same as the product of force, displacement and time.
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