A) \[{{L}_{A}}>{{L}_{B}}\]
B) \[{{L}_{A}}={{L}_{B}}\]
C) the relationship between\[{{L}_{A}}\]and\[{{L}_{B}}\]depends upon the slope of the line AB
D) \[{{L}_{A}}<{{L}_{B}}\]
Correct Answer: B
Solution :
From the definition of angular momentum, \[\vec{L}=\vec{r}\times \vec{p}=rmv\,\sin \phi (-\vec{k})\] Therefore, the magnitude of L is \[L=mvr\sin \phi =mvd\] where\[d=r\sin \phi \]is the distance of closest approach of the particle to the origin. As d is the same for both the cases, hence\[{{L}_{A}}={{L}_{B}}.\]You need to login to perform this action.
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