A) \[{{m}_{A}}{{v}_{A}}<{{m}_{B}}{{v}_{B}}\]
B) \[{{m}_{A}}{{v}_{A}}>{{m}_{B}}{{v}_{B}}\]
C) \[{{m}_{A}}<{{m}_{B}}\] and \[{{v}_{A}}<{{v}_{B}}\]
D) \[{{m}_{A}}={{m}_{B}}\] and \[{{v}_{A}}<{{v}_{B}}\]
Correct Answer: B
Solution :
(b) \[{{m}_{A}}{{v}_{A}}>{{m}_{B}}{{v}_{B}}\] Radius of circular path, \[{{r}_{a}}=\frac{{{m}_{A}}{{v}_{A}}}{qB}\] and \[{{r}_{B}}=\frac{{{m}_{B}}{{v}_{B}}}{qB}\] According to question, \[{{r}_{A}}<{{r}_{B}}\] \[\therefore \frac{{{m}_{A}}{{v}_{A}}}{qB}>\frac{{{m}_{B}}{{v}_{B}}}{qB}\] or \[{{m}_{A}}{{v}_{A}}>{{m}_{B}}{{v}_{B}}\]You need to login to perform this action.
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