A) \[\sqrt{\frac{2m{{d}^{2}}}{eV}}\]
B) \[\sqrt{\frac{m{{d}^{2}}}{eV}}\]
C) \[\sqrt{\frac{m{{d}^{2}}}{2eV}}\]
D) \[\frac{2m{{d}^{2}}}{eV}\]
Correct Answer: A
Solution :
[a] \[E=\frac{V}{d},F=eE=eV/d\] \[a=\frac{F}{m}=\frac{eV}{md}\] \[d=\frac{1}{2}a{{t}^{2}}\text{ or }t=\sqrt{\frac{2d}{a}}\] \[\text{or }t=\sqrt{\frac{2dmd}{eV}}=\sqrt{\frac{2m{{d}^{2}}}{eV}}\]
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