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Question

# Figure shows to identical particles 1 and 2, each of mass m, moving in opposite directions with same speed v along parallel lines. At a particular instant r1 and r2 are their respective position vectors drawn from point A which is in the plane of the parallel lines. Choose the correct options.

A
Angular momentum I1 of particle 1 about A is I=mv(d1)
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B
Angular momentum I2 of particle 2 about A is I2=mvr2
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C
Total angular momentum of the system about A is I=mv(r1+r2)
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D
Total angular momentum of the system about A is I=mv(d2d1)
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Solution

## The correct option is D Total angular momentum of the system about A is I=mv(d2−d1)⊗Angular momentum of particle 1 about A is→L1=mvd1 Angular momentum of particle 2 about A is →L2=mvd2∴Total angular momentum of the system about A is →L=→L2−→L1L1 and L2 are in opposite directions→L=mv(d2−d1) into the page.

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