Question

planck's constant is analogous to?​

Answer 1

Answer:

The scale of the quantum regime is set by Planck's constant, which has dimensions of energy × time (or equivalently momentum × length). It is extremely small in ordinary units17: ℏ = 1.05 × 10 − 34 Joule − seconds . This is why quantum properties only manifest themselves at very small scales or very low temperatures.

Answer 2

planck's constant is analogous to angular momentum as both have the same dimensions

We know that E = hv

here E us energy of the electron, h is Planck's constant, v is the frequency

so h = E/v

dimensions of E is ML^2T^-2

and dimensions of v is T^-1

So we can write it as

dimensions of h will be [ ML^2T^-2 ]/ [ T^-1 ]

dimensions of h = [ ML^2T^-1 ]

now, angular momentum= moment of inertia × angular velocity

we can write dimensions of angular momentum as [ ML^2 ]×[T^-1]

dimensions of angular momentum = [ ML^2T^-1]

Therefore, we can say that the dimensions of Planck's constant and angular momentum are the same that is [ML^2T^-1].