Question 166: Dual Nature of Matter and Radiation

Question

The speed of electrons in a scanning electron microscope is 1 $$	imes$$ 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 :

Accepted Answer

Resolving power (RP) $$ \propto $$ $${1 \over \lambda }$$
We know, de-Broglie wavelength
$$\lambda  = {h \over {mv}}$$
$$ 	herefore $$ RP $$ \propto $$ $$ {mv \over {h}}$$
$$ 	herefore $$ $${{R{P_e}} \over {R{P_p}}} = {{{m_e}} \over {{m_p}}} = 1837$$

Answer

$${1 \over {1837}}$$

Answer

1837

Answer

$${\sqrt {1837} }$$

Answer

$${1 \over {\sqrt {1837} }}$$

Dual Nature of Matter and Radiation

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 :

Choose the correct answer: