Question

Which of the following pairs of physical quantities have the same dimensions: निम्नलिखित में से किस भौतिक राशियों के युग्म समान हैं *

work and power काम और शक्ति

force and power बल और शक्ति

Momentum and energy समवेग और ऊर्जा

work and energy गति और ऊर्जा​

Answer 1

Explanation:

Correct option is

B

torque and energy

we know, force = mass × acceleration

energy = Workdone = force × displacement

power = energy/time

torque = force × perpendicular distance between force and axis of rotation.

now, by these formula, find dimension of all terms.

e.g., dimension of force =[MLT⁻²]

dimension of energy =[ML²T⁻²]

dimension of power =[ML²T⁻³]

dimension of torque =[ML²T⁻²]

Here it is clear that , dimension of energy and dimension of torque are equal.

Hence,

option (b) is correct.

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