The speed of electrons in a scanning electron microscope is 1 × 10...

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:

Options

A $1837$
B $\dfrac{1}{1837}$
C $\sqrt{1837}$
D $\dfrac{1}{\sqrt{1837}}$

Correct answer

A. $1837$

Step-by-step solution

Resolving power $\left(RP\right) ∝ \dfrac{1}{\lambda}</p><p>$ \lambda = \dfrac{h}{P} = \dfrac{h}{mv} $</p><p>So, \left(RP\right) ∝ \dfrac{mv}{h}$
$RP ∝ P$

$RP ∝ mv$

$RP ∝ m$

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