A) increase 2 times
B) decrease 0.5 times
C) increase 1.4 times
D) decrease 0.7 times
Correct Answer: D
Solution :
From the relation according de Broglie law \[{{\lambda }_{d}}\propto \frac{1}{\sqrt{V}}...(i)\] [V becomes 2V (given)] \[\lambda {{}_{d}}\propto \frac{1}{\sqrt{2V}}\] ?(ii) \[\frac{{{\lambda }_{d}}}{\lambda {{}_{d}}}=\sqrt{\frac{2V}{V}}\] hence \[\lambda {{}_{d}}=\frac{{{\lambda }_{d}}}{\sqrt{2}}\] so \[\frac{\lambda {{}_{d}}}{{{\lambda }_{d}}}=\frac{1}{\sqrt{2}}=0.7\,\text{times}\]
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