The speed of electrons in a scanning electron microscope is 1×10⁷ m/s. If 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
The speed of electrons in a scanning electron microscope is 1×10⁷ m/s. If 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
Option 1 -
1837
Option 2 -
√1837
Option 3 -
1/√1837
Option 4 -
1/1837
-
1 Answer
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Correct Option - 1
Detailed Solution:R = (2μ sinθ) / (1.22λ) . (1)
According to de-Broglie's hypothesis, we can write
λ = h / (mv) . (2)With the help of equations (1) and (2), we can write
R = (2μmv sinθ) / (1.22h) ⇒ R? /R? = m? /m? = 1837 ⇒ R? = 1837R?- Concept involved: Resolving Power of Microscope
- Topic: Optics
- Difficulty level: Moderate
- Point of Error: Formula
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