JEE Mains · Physics · STD 12 - 10. Wave optics
The speed of electrons in a scanning electron microscope is \(1 \times 10^{7} \,ms ^{-1}\). If the protons having the same speed are used instead of electrons, then the resolving power of scanning proton microscope will be changed by a factor of:
- A \(1837\)
- B \(\frac{1}{1837}\)
- C \(\sqrt{1837}\)
- D \(\frac{1}{\sqrt{1837}}\)
Answer & Solution
Correct Answer
(A) \(1837\)
Step-by-step Solution
Detailed explanation
Resolving power \(( RP ) \propto \frac{1}{\lambda}\) \(\lambda=\frac{ h }{ P }=\frac{ h }{ mv }\) So (RP) \(\propto \frac{ mv }{ h }\) \(RP \propto P\) \(RP \propto mv\) \(RP \propto m\)
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