The set of physical quantities among the following which are dimensionally different is

Question

The set of physical quantities among the following which are dimensionally different is (A) Terminal velocity, drift velocity, critical velocity (B) Potential energy, work done, kinetic energy (C) Pressure, stress, rigidity modulu (D) disintegration constant, frequency, angular velocity

Tardigrade Admin · Accepted Answer

Dipole moment, [P]=q ⋅ d=I T L Electric flux, [φ]=E ⋅ d s=[M L3 I-1 T-3] Electric field, [E]=(k ⋅ q/r2)=[ ML I-1 T-3]

Q. The set of physical quantities among the following which are dimensionally different is

Terminal velocity, drift velocity, critical velocity

Potential energy, work done, kinetic energy

Pressure, stress, rigidity modulu

disintegration constant, frequency, angular velocity

dipole moment, electric flux, electric field

Dipole moment, $[P] = q \cdot d = I T L$
Electric flux, $[ϕ] = E \cdot d s = [M L^{3} I^{- 1} T^{- 3}]$
Electric field, $[E] = \frac{k \cdot q}{r ^{2}} = [M L I^{- 1} T^{- 3}]$