The dimensions of Planck’s constant is the same as the product of

Question

The dimensions of Planck’s constant is the same as the product of (A) force and time (B) force, displacement and tune (C) force and distance (D) time and displacement

Tardigrade Admin · Accepted Answer

The dimensions of Planck constant, [h]=[(E/v)]=[ ML 2 T -1] Force, [F]=[ MLT -2] Displacement, [d]=[ L ] Time [t]=[ T ] ∴ [F][d][t] =[ MLT -2][ L ][ T ] =[ ML 2 T -1] Hence the dimensions of Planck's constant is the same as the product of force, displacement and time.

Q. The dimensions of Planck’s constant is the same as the product of

force and time

force, displacement and tune

force and distance

time and displacement

The dimensions of Planck constant, [h]=[vE​]=[ML2T−1] Force, [F]=[MLT−2] Displacement, [d]=[L] Time [t]=[T] ∴[F][d][t]=[MLT−2][L][T] =[ML2T−1] Hence the dimensions of Planck's constant is the same as the product of force, displacement and time.