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Question

Newton's Third law is equivalent to the:

A
law of conservation of linear momentum
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B
law of conservation of angular momentum
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C
law of conservation of energy
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D
law of conservation of energy and mass
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Solution

The correct option is B law of conservation of linear momentum

Let us consider an isolated system of two bodies A & B mutually interacting with each other ,provided there is no external force acting on the system.
Let FAB force exerted on body B by body A. Similarly ,let FBA be the force exerted by body B on A .Suppose that due to these forces FAB & FBA, dp1dt and dp2dt be the rate of the change of momentum of these bodies respectively.

Then, FAB=dpAdt
and FBA=dpBdt

Adding above two
FAB+FBA=dpAdt+dpBdt=d(pA+pB)dt

When no external force acts on the system, then

d(pA+pB)dt=0
FAB+FBA=0
FAB=FBA

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