A) \[1:2\]
B) \[2:1\]
C) \[1:2\sqrt{2}\]
D) \[2\sqrt{2}:1\]
Correct Answer: D
Solution :
The Child equation \[{{I}_{p}}=kV_{p}^{3/2}\] \[\therefore \] \[\frac{{{I}_{{{p}_{1}}}}}{{{I}_{{{P}_{2}}}}}=\frac{{{({{V}_{{{P}_{1}}}})}^{3/2}}}{{{\left( {{V}_{{{P}_{2}}}} \right)}^{3/2}}}={{\left( \frac{400}{200} \right)}^{3/2}}=\frac{2\sqrt{2}}{1}\]
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