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JEE Main 2021 (18 Mar, Shift 2) · Davisson-Germer, Uncertainty, Compton & X-Rays

Davisson-Germer, Uncertainty, Compton & X-Rays question from JEE Main 2021 (18 Mar, Shift 2)

Q6JEE Main 2021 · 18 MAR · SHIFT 2Medium

Davisson-Germer, Uncertainty, Compton & X-Rays

The speed of electrons in a scanning electron microscope is 1 $\times$ 107 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:

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Answer: (b)

Resolving power $\propto \frac{1}{\lambda}$ and $\lambda = \frac{h}{mv}$ , so resolving power $\propto mv$ .
Same speed: $\frac{RP_p}{RP_e} = \frac{m_p}{m_e} = 1837$
So the answer is (b) 1837.

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