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1.Units, Dimensions and Measurement
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Out of the following, the only pair that does not have identical dimensions is
AAngular momentum and Planck's constant
BMoment of inertia and moment of a force
CWork and torque
DImpulse and momentum
Solution
(b) ${\rm{Moment of inertia}} = m{r^2} = [M]\,\,[{L^2}]$
Moment of Force = Force $ \times $ Perpendicular distance
= $[ML{T^{ – 2}}]\,[L]\, = \,[M{L^2}{T^{ – 2}}]$
Moment of Force = Force $ \times $ Perpendicular distance
= $[ML{T^{ – 2}}]\,[L]\, = \,[M{L^2}{T^{ – 2}}]$
Standard 11
Physics