A) \[(h/{{m}_{0}}c)\]
B) Zero
C) \[\infty \]
D) \[({{m}_{0}}c/h)\]
Correct Answer: B
Solution :
[b] We know that mass m in motion and the rest mass \[{{m}_{0}}\]is related through the equation \[m=\frac{{{m}_{0}}}{\sqrt{1-\frac{{{v}^{2}}}{{{c}^{2}}}}}\] As \[v=c,m=\frac{{{m}_{0}}}{\sqrt{1-1}}=\frac{{{m}_{0}}}{0}=\infty \] Therefore, de Broglie wavelength is \[\lambda =\frac{h}{mv}=\frac{h}{(\infty )(c)}=0\]
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