Q.

The speed of electrons in a scanning electron microscope is 1×107 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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a

11837

b

1837

c

1837

d

11837

answer is B.

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Detailed Solution

Mass of proton=1837  mass of electron. Resolving power of microscope =RP=2μsinθ1.22λ  and  λ=hmvSo,  RP ∝ mSo, it increases by a factor of  1837.
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The speed of electrons in a scanning electron microscope is 1×107 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: