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For a system to follow the law of conservation of linear momentum during a collision, the condition is
a) total external force acting on the system is zero
b) total external force acting on the system is finite and time of collision is negligible
c) total internal force acting on the system is zero

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(a) only

(b) only

(a) or (b)

answer is A.

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Detailed Solution

We know that according to Newton second law of motion,

$F = \frac{dP}{dt} When F = \frac{dP}{dt} = 0$

$\frac{dP}{dt}$ only reach 0 when P is a constant.
Therefore, the total external force operating on the system must be zero in order for the system to obey the rule of conservation of energy.

Hence the correct answer is (a) only.

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