Question

Figure shows two identical particles `1` and `2`, each of mass `m`, moving in opposite directions with same speed `vec V` along parallel lines. At a particular instant, `vec r_1` and `vec r_2` are their respective position vectors drawn from point `A` which is in the plane of the parallel lines. Which of the following is the correct statement ?
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A. Angular momentum `l_(1)` of particle `1` about `A` is `l_(1)=mvd_(1) o.`
B. Angular momentum `l_(2)` of particle `2` about `I` is `l_(2)=mvr_(2)o.`
C. Total angular momentum of the system about `A` is `l=mv(r_(1)+r_(2))o.`
D. Total angular momentum of the system about `Z` is `l=mv(d_(1)-d_(2))ox`

Answer 1

Correct Answer - A
`bar(L)=bar(r)xxbar(P)`
For particle `1`
`bar(L)_(1)=bar(r)_(1)xxmbar(v)`
For particle `2`
`bar(L)_(2)=bar(r)_(1)xxm(-bar(v))`