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

Question

The set of physical quantities among the following which is dimensionally different is (A) Terminal velocity, drift velocity, critical velocity (B) Potential energy, work done, kinetic energy (C) Disintegration constant, frequency, angular velocity (D) Dipole moment, electric flux, electric field

Tardigrade Admin · Accepted Answer

Dipole moment, [P]=q⋅ d=[ITL] Electric flux, [φ]=E.ds=[ML3 I- 1 T- 3] Electric field, [E]=(k ⋅ q/r2)=[MLI- 1 T- 3]

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

Terminal velocity, drift velocity, critical velocity

Potential energy, work done, kinetic energy

Disintegration constant, frequency, angular velocity

Dipole moment, electric flux, electric field

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

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

Terminal velocity, drift velocity, critical velocity

Potential energy, work done, kinetic energy

Disintegration constant, frequency, angular velocity

Dipole moment, electric flux, electric field

Dipole moment, [P]=q⋅d=[ITL] Electric flux, [ϕ]=E.ds=[ML3I−1T−3] Electric field, [E]=r2k⋅q​=[MLI−1T−3]

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