Assertion :STATEMENT-1 : Two particles undergo rectilinear motion along different straight lines. Then the centre of mass of system of given two particles also always moves along a straight line. Reason: STATEMENT-2 : If direction of net momentum of a system of particles ( having nonzero net momentum) is fixed, the centre of mass of given system moves along a straight line.

Statement-1 is True, Statement-2 is True; Statement-2 is a correct explanation for Statement-1.

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Statement-1 is True, Statement-2 is True; Statement-2 is NOT a correct explanation for Statement-1

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Statement-1 is True, Statement-2 is False

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Statement-1 is False, Statement-2 is True

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Solution

The correct option is D Statement-1 is False, Statement-2 is True
In statement-1, nothing is said about acceleration of both particles. Hence angle between velocity and acceleration of centre of mass may not be zero. Consequently centre of mass may not move along a straight line. Hence statement-1 is false.

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