Question

Dimension’s of planck’s constant are same as the dimensions of the product ofA. Force and timeB. Force, displacement and time.C. Force and velocityD. Force and displacement

Answer 1

Answer ⇒ Option (B).

Explanation ⇒

S.I. unit of the Plank's constant = J-s.

∴ Dimensional Formula of the Plank's constant = ML²T⁻² × T

= ML²T⁻¹

In Option (A).

[Force × Area] = [MLT⁻² × L]

= [ML²T⁻²]

In Option (B).

[Force × displacement × time] = [MLT⁻² × L × T]

= [ML²T⁻¹]

In Option (C).

[Force and velocity] = [MLT⁻² × LT⁻¹]

= [ML²T⁻³]

In Option (D).

[Force × displacement] = [MLT⁻² × L]

= [ML²T⁻²]

From this we can observes that Only option (B) have the same dimensions as that of the Plank's constant.

Hence, Option (B). is correct.

Hope it helps.

Answer 2

Option b

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