Out of the following pairs which one does not have identical dimensions is
Option 1)
moment of inertia and moment of a force |
Option 2)
work and torque |
Option 3)
angular momentum and Planck’s constant |
Option 4)
impulse and momentum |
Using the concepts we learnt:
Work, Potential Energy, Kinetic Energy, Torque -
- wherein
and
Momentum-Impulse -
- wherein
and
Plank's Constant (h) -
- wherein
Joule-sec
Option 1)
moment of inertia and moment of a force
Moment of Inertia
Moment of force
Hence moment of inertia & moment of force does not have same dimension.
Option 2)
work and torque
Work and Torque both have dimension
Option 3)
angular momentum and Planck’s constant
angular momentum and Planck’s constant have dimension
Also angular momentum
Dimension of Planck’s constant is same as angular momentum.
Option 4)
impulse and momentum
Impulse is change in momentum hence both have same dimensions.
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