A) Are one quarter as numerous
B) Are half as numerous
C) Each carry one quarter of their previous momentum
D) Each carry one quarter of their previous energy
Correct Answer: A
Solution :
Number of photo electrons (N) µ Intensity \[\propto \frac{1}{{{d}^{2}}}\Rightarrow \frac{{{N}_{1}}}{{{N}_{2}}}={{\left( \frac{{{d}_{2}}}{{{d}_{1}}} \right)}^{2}}\] \[\Rightarrow \frac{{{N}_{1}}}{{{N}_{2}}}={{\left( \frac{100}{50} \right)}^{2}}=\frac{4}{1}\Rightarrow {{N}_{2}}=\frac{{{N}_{1}}}{4}\].
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