A) \[V\text{ }volt\]
B) \[2000\text{ }V\text{ }volt\]
C) \[\frac{V}{2000}\] volt
D) \[\sqrt{\text{2}000}\,V\,volt\]
Correct Answer: C
Solution :
According to the question \[{{\lambda }_{e}}={{\lambda }_{p}}\] Or \[\frac{h}{\sqrt{2{{m}_{e}}{{Q}_{e}}V}}=\frac{h}{\sqrt{2{{m}_{p}}{{Q}_{p}}{{V}_{p}}}}\] \[\therefore \] \[{{m}_{e}}{{Q}_{e}}V={{m}_{p}}{{Q}_{p}}{{V}_{p}}\] \[\therefore \] \[{{V}_{p}}=\left( \frac{{{m}_{e}}}{{{m}_{p}}} \right)\left( \frac{{{Q}_{e}}}{{{Q}_{p}}} \right)V\] \[=\left( \frac{1}{2000} \right)(1)V\] \[\frac{V}{2000}volt\]
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