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Find the dimensional formula for Planck'...

Find the dimensional formula for Planck's constant (h).

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To find the dimensional formula for Planck's constant (h), we can start with the relationship between energy (E), frequency (ν), and Planck's constant. The relevant equations are: 1. \( E = h \nu \) 2. \( E = \frac{hc}{\lambda} \) Where: - \( E \) is energy, - \( h \) is Planck's constant, ...
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The energy (E) , angular momentum (L) and universal gravitational constant (G) are chosen as fundamental quantities. The dimensions of universal gravitational constant in the dimensional formula of Planck's constant h is

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Knowledge Check

  • The energy (E), angular momentum (L) and universal gravitational constant (G) are chosen as fundamental quantities. The dimensions of universal gravitational constant in the dimensional formula of Planck's constant (h) is :

    A
    0
    B
    `-1`
    C
    `5//3`
    D
    `1`

  • 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)]`

  • 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)]`

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