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  • Which of the following pairs of physical quantities does not have same dimensional formula? a) work and torque b) angular momentum and Planck’s constant c) tension and surface tension d) impulse and linear momentum

Which of the following pairs of physical quantities does not have same dimensional formula?

a) work and torque

b) angular momentum and Planck’s constant

c) tension and surface tension

d) impulse and linear momentum

Answers (1)

The answer is the option (c) Tension & surface tension

Explanation : We know that,

Work = force \times displacement

         =[ML^{2}T^{-2}]

& Torque = force \times distance

       =[ML^{2}T^{-2}]

Hence, their dimensions are the same.

(b) Dimensions of-

 Angular momentum =[ML^{2}T^{-1}]

& Planck’s constant =[ML^{2}T^{-1}]

Hence, their dimensions are the same.

(c) Dimensions of-

Tension =[MLT^{-2}]

Surface tension=[ML^{0}T^{-2}]

Their dimensions are not the same, hence opt (c).

(d) Dimensions of-

Impulse =[MLT^{-1}]

Momentum =[MLT^{-1}]

Thus, their dimensions are also the same.

 

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infoexpert22

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