A) \[{{n}^{2}}\]
B) \[n\]
C) \[{{n}^{1/2}}\]
D) \[{{n}^{1/4}}\]
Correct Answer: C
Solution :
According to the question, \[2\pi r=n\lambda =\frac{nh}{p}=\frac{nh}{mv}\] or \[mvr=\frac{nh}{2\pi }\]or \[mv=\frac{nh}{2\pi r}\] \[F=q{{v}_{B}}=\frac{m{{v}^{2}}}{r}\] or, \[{{q}_{B}}=\frac{mv}{r}=\frac{nh}{2\pi r.r}\] or, \[{{r}^{2}}=\frac{nh}{2\pi qB}\] or, \[r=\sqrt{\frac{nh}{2\pi qB}}\] i.e. \[r\propto {{n}^{1/2}}\]You need to login to perform this action.
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