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The pair having the same dimensions is
  • a)
    Angular momentum, work
  • b)
    Work, torque
  • c)
    Potential energy, linear momentum
  • d)
    Kinetic energy, velocity
Correct answer is option 'B'. Can you explain this answer?
Most Upvoted Answer
The pair having the same dimensions isa)Angular momentum, workb)Work, ...
Explanation:
The pair having the same dimensions is work and torque.

Work:
Work is defined as the product of force and displacement in the direction of force. It is represented by the unit Joule (J) in SI units.

Dimensional formula of work = [M L^2 T^-2]

Torque:
Torque is defined as the product of force and the perpendicular distance between the point of application of force and the axis of rotation. It is represented by the unit Newton-meter (Nm) in SI units.

Dimensional formula of torque = [M L^2 T^-2]

Thus, it can be observed that both work and torque have the same dimensional formula [M L^2 T^-2].
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Community Answer
The pair having the same dimensions isa)Angular momentum, workb)Work, ...
Option B is correct bcz torque is written as N/m and work is also written as N/m.
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The pair having the same dimensions isa)Angular momentum, workb)Work, torquec)Potential energy, linear momentumd)Kinetic energy, velocityCorrect answer is option 'B'. Can you explain this answer?
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