Which of the following sets of quantities have same dimensional formula?

Question

Which of the following sets of quantities have same dimensional formula? (A) Frequency, angular frequency and angular momentum (B) Surface tension, stress and spring constant (C) Acceleration, momentum and retardation (D) Thermal capacity, specific heat and entropy

Tardigrade Admin · Accepted Answer

The dimensional formula of Work = Energy = Torque =[ML2T-2] .

Q. Which of the following sets of quantities have same dimensional formula?

Frequency, angular frequency and angular momentum

Surface tension, stress and spring constant

Acceleration, momentum and retardation

Thermal capacity, specific heat and entropy

Work, energy and torque

The dimensional formula of Work = Energy = Torque $= [M L^{2} T^{- 2}]$ .