The dimensions of Plank’s Constant equals to that of

Explanation:

Planck's constant (h) is a fundamental constant in quantum mechanics. The dimensions of Planck's constant can be derived from its role in the equation E = hν, where E is energy and ν is frequency.

The dimensions of energy (E) are [ML²T^-2].

Frequency (ν) has dimensions of [T^-1].

Therefore, Planck's constant (h) has dimensions of:

[h] = [E/ν] = [ML²T^-2] / [T^-1] = [ML²T^-1]

Upon examining the given options:

1) Energy: [ML²T^-2]

2) Momentum: [MLT^-1]

3) Angular momentum: [ML²T^-1]

4) Power: [ML²T^-3]

It is clear that the dimensions of Planck's constant match those of angular momentum.

∴ The correct answer is option 3: Angular momentum.