Question

name two physical quantities whose dimensions are same. write their dimensional formula

Answer 1

Work/Energy, which is linear force over a distance, and as such has dimensions [M][L2][T−2], and torque, which is rotational force computed by multiplying linear force by the distance from the point of rotation, and as such has dimensions [M][L2][T−2].

In SI, energy is generally given units of Joules, while torque is generally given in units of Newton-meters.

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Answer 2

Answer:

Moment of couple and Work are the two physical quantities whose dimensions are same.

Their dimensional formula is [$M^{1}$$L^{2}$$T^{-2}$]

Explanation:

• Moment of couple = force × perpendicular distance =[$M^{1}$$L^{2}$ $T^{-2}$]

• Work = force × distance =[$M^{1}$$L^{2}$$T^{-2}$]

  Hence,  Moment of couple and Work have the same dimension.

• Moment of a couple is calculated by multiplying the size of one  force (F) by the perpendicular distance between  two forces.