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Obtain the dimensions of Planck's consta...

Obtain the dimensions of Planck's constant.

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To obtain the dimensions of Planck's constant (h), we can use two different approaches based on known physical relationships. Here’s a step-by-step solution: ### Step 1: Use the de Broglie wavelength formula The de Broglie wavelength (λ) is given by the formula: \[ \lambda = \frac{h}{p} \] where \( h \) is Planck's constant and \( p \) is the momentum of a particle. ### Step 2: Identify the dimensions of the de Broglie wavelength ...
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Knowledge Check

  • The dimensions of Planck's constant are

    A
    `kg m^(2) s^(-1)`
    B
    `kg m s^(-2)`
    C
    `kg^(2) m^(2) s^(-1)`
    D
    `kg m^(2) s^(-2)`
  • The ratio of the dimensions of Planck's constant and that of the moment of Inertia is also the dimension of which of the following?

    A
    frequency
    B
    velocity
    C
    angular momentum
    D
    time
  • The ratio of the dimensions of Planck's constant and that of moment of inertia has the dimensions of

    A
    angular momentum
    B
    time
    C
    velocity
    D
    frequency
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