A) \[\frac{qvB}{m}\left( \frac{\hat{i}+\hat{j}}{\sqrt{2}} \right)\]
B) \[\frac{qvB}{m}\left( \frac{\sqrt{3}}{2}\hat{i}+\frac{1}{2}\hat{j} \right)\]
C) \[\frac{qvB}{m}\left( \frac{1}{2}\hat{i}-\frac{\sqrt{3}}{2}\hat{j} \right)\]
D) \[\frac{qvB}{m}\left( \frac{-\hat{j}+\hat{i}}{\sqrt{2}} \right)\]
E) None of these
Correct Answer: E
Solution :
\[d=\frac{mv}{2qB}\] As\[r=\frac{mv}{qB}=2d\] Acceleration, \[{{\vec{v}}_{1}}={{v}_{1}}\sin {{30}^{o}}\hat{i}+{{v}_{1}}\cos {{30}^{o}}\hat{j}\] \[=\frac{v}{2}\hat{i}-\frac{\sqrt{3}}{2}v\hat{j}\] \[\vec{a}=\frac{{\vec{F}}}{m}=\frac{qvB}{2m}(\hat{i}-\sqrt{3}\hat{j})\] *None of the given options is correct.You need to login to perform this action.
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