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The dimensional formula for Planck's co...

The dimensional formula for Planck's constant and angular momentum are

A

`[ML^(3)T^(-2)]` and `[MLT^(-1)]`

B

`[ML^(2)T^(-1)] `and `[ML^(2)T^(-1)]`

C

`[ML^(2)T^(1)]` and` [ML^(3)T^(-2)]`

D

`[MLT^(-1)] `and` [MLT^(-2)]`

Text Solution

Verified by Experts

The correct Answer is:
B
`L = mvR = (nh)/(2 pi)`
:. `[L] = [h] = [mvR]`
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Knowledge Check

  • What is the dimensional formula for Planck's constant and angular momentum?

    A
    `[ML ^(2) T ^(-2)] and [MLT ^(-1) ]`
    B
    `[ML ^(2) T ^(-1) ] and [ML ^(2) T ^(-1)]`
    C
    `[ML ^(3) T ^(1) ] and [MLT ^(-2)]`
    D
    `[MLT^(-1) ] and [MLT^(-2)]`

  • The dimensional formula of Planks constant is

    A
    `[ML^(-3)T^(-1)]`
    B
    `[ML^(-2)T^(-1)]`
    C
    `[M^0L^(-1)T^(-3)]`
    D
    `[ML^2T^(-1)]`

  • The dimensional formula for Boltzmann's constant is

    A
    `[ML^(2)T^(-2)theta^(-1)]`
    B
    `[ML^(2)T^(-2)]`
    C
    `[ML^(0)T^(-2)theta^(-1)]`
    D
    `[ML^(-2)T^(-1)theta^(-1)]`

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