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Dimension of Planck's constant is similar to:
  • a)
    Linear momentum
  • b)
    Angular momentum
  • c)
    Torque
  • d)
    Velocity
Correct answer is option 'B'. Can you explain this answer?
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Dimension of Plancks constant is similar to:a)Linear momentumb)Angular...
The dimension of Planck's constant is similar to angular momentum.
It is a physical constant that is the quantum of electromagnetic action. It relates the energy carried by a photon to its frequency by, E = hv

Where, E = energy, v = frequency and h = Planck's constant.
Now,
Dimensional formula of energy (E) = (ML2T-2)
(Dimensional formula of frequency (v) = (T-1]
The dimension of the Planck's constant is (h)

Angular momentum:
It is the rotational equivalent of linear momentum.
⇒ L = r × p
Where, L = angular momentum, r = distance and p = linear momentum.
Now,
Dimensional formula of (r) = (L)
Dimensional formula of (p) = [MLT-1]
Therefore, the dimensional formula of L is
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Dimension of Plancks constant is similar to:a)Linear momentumb)Angular momentumc)Torqued)VelocityCorrect answer is option 'B'. Can you explain this answer?
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