A) 1:1
B) \[\sqrt{2}:1\]
C) \[1:\sqrt{2}\]
D) 2:1
Correct Answer: A
Solution :
\[\lambda =\frac{h}{P}=\frac{h}{mv}\] \[{{\operatorname{m}}_{\propto }}=4m{{\operatorname{m}}_{d}}=\frac{B}{4}\] \[{{\operatorname{v}}_{\propto }}=\operatorname{v}\,\,\,\,\,\,\,\,\,\,\,{{\operatorname{v}}_{p}}=2\operatorname{v}\] \[{{\lambda }_{\propto }}=\frac{h}{4m.v}\,\,\,\,\,\,\,\,\,\,{{\lambda }_{\operatorname{d}}}=\frac{h}{2m.2v}\] \[\frac{{{\lambda }_{\propto }}}{{{\lambda }_{\operatorname{d}}}}=\frac{1}{1}\]
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