Question 1: Dual Nature of Matter and Radiation

Question

When 0.25$$\mathop A\limits^o $$ X-Rays strike a material, the photoelectrons from the $$K$$ shell are observed to more in a circle of radius $$23 \mathrm{~mm}$$ in magnetic field of $$4 	imes 10^{-2}$$ tesla active perpendicularly to the direction of emission of photoelectrons. What is the Binding energy of $$K$$ shell electrons?

Accepted Answer

As we know,
$$\begin{aligned}
F & =q v B=m \frac{v^2}{R} \Rightarrow v=\frac{q}{m} B R . \
\mathrm{K} . \mathrm{E} . & =\frac{1}{2} m v^2=\frac{1}{2} \frac{e^2 B^2 R^2}{m}=74.4 \mathrm{~keV} .
\end{aligned}$$
Energy of a photon $$=\frac{h c}{\lambda}=49.5 \mathrm{~keV}$$.
Binding energy $$=74.4-49.5 \mathrm{~keV}=24.9 \mathrm{~keV}$$

Answer

31.5 keV

Answer

23.71 keV

Answer

29.41 keV

Answer

24.9 keV

Dual Nature of Matter and Radiation

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