A) \[\lambda \propto \frac{1}{(\upsilon -{{\upsilon }_{0}})}\]
B) \[\lambda \propto \frac{1}{{{(\upsilon -{{\upsilon }_{0}})}^{1/2}}}\]
C) \[\lambda \propto \frac{1}{{{(\upsilon -{{\upsilon }_{0}})}^{3/2}}}\]
D) \[\lambda \propto \frac{1}{{{(\upsilon -{{\upsilon }_{0}})}^{1/4}}}\]
Correct Answer: B
Solution :
For electron, \[\lambda =\frac{h}{\sqrt{2mK.E.}}\] \[kv=h{{v}_{0}}+K.E.\] \[K.E.=hv-h{{v}_{0}}\] \[\lambda =\frac{h}{\sqrt{2m(hv-h{{v}_{0}})}}=\frac{h}{\sqrt{2mh(v-{{v}_{0}})}}\] \[\lambda \propto \frac{1}{\sqrt{(v-{{v}_{0}})}}\]You need to login to perform this action.
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