Question

If $${\lambda _{Cu}}$$ is the wavelength of $${K_\alpha }$$ X-ray line of copper (atomic number 29) and $${\lambda _{Mo}}$$ is the wavelength of the $${K_\alpha }$$ X-ray line of molybdenum (atomic number 42), then the ratio $$\frac{{{\lambda _{Cu}}}}{{{\lambda _{Mo}}}}$$ is close to

A. 1.99
B. 2.14  
C. 0.50
D. 0.48
Answer :   2.14
Solution :
$$\frac{{{\lambda _{Cu}}}}{{{\lambda _{Mo}}}} = \frac{{{{\left( {{Z_{Mo}} - 1} \right)}^2}}}{{{{\left( {{Z_{Cu}} - 1} \right)}^2}}} = {\left( {\frac{{42 - 1}}{{29 - 1}}} \right)^2} = {\left( {\frac{{41}}{{28}}} \right)^2} = 2.14$$
\[\left[ {\begin{array}{*{20}{c}} {\begin{array}{*{20}{c}} {\therefore \sqrt \nu = \left( {Z - b} \right)\,{\text{here }}b = 1} \\ {\nu = {{\left( {Z - 1} \right)}^2}} \end{array}} \\ {\frac{1}{\lambda } \propto {{\left( {Z - 1} \right)}^2}} \end{array}} \right]\]

Releted MCQ Question on
Modern Physics >> Modern Physics Miscellaneous

Releted Question 1

The maximum kinetic energy of photoelectrons emitted from a surface when photons of energy $$6\,eV$$  fall on it is $$4\,eV.$$  The stopping potential, in volt, is

A. 2
B. 4
C. 6
D. 10
Releted Question 2

Electrons with energy $$80\,keV$$  are incident on the tungsten target of an X-ray tube. $$K$$-shell electrons of tungsten have $$72.5\,keV$$  energy. X-rays emitted by the tube contain only

A. a continuous X-ray spectrum (Bremsstrahlung) with a minimum wavelength of $$0.155\mathop {\text{A}}\limits^ \circ $$
B. a continuous X-ray spectrum (Bremsstrahlung) with all wavelengths
C. the characteristic X-ray spectrum of tungsten
D. a continuous X-ray spectrum (Bremsstrahlung) with a minimum wavelength of $$0.155\mathop {\text{A}}\limits^ \circ $$  and the characteristic X-ray spectrum of tungsten.
Releted Question 3

The intensity of X-rays from a Coolidge tube is plotted against wavelength $$\lambda $$ as shown in the figure. The minimum wavelength found is $${\lambda _C}$$ and the wavelength of the $${K_\alpha }$$ line is $${\lambda _K}.$$  As the accelerating voltage is increased
Modern Physics Miscellaneous mcq question image

A. $${\lambda _K} - {\lambda _C}$$   increases
B. $${\lambda _K} - {\lambda _C}$$   decreases
C. $${\lambda _K}$$ increases
D. $${\lambda _K}$$ decreases
Releted Question 4

The potential difference applied to an X-ray tube is $$5k\,V$$  and the current through it is 3.2$$mA.$$  Then the number of electrons striking the target per second is

A. $$2 \times {10^{16}}$$
B. $$5 \times {10^{6}}$$
C. $$1 \times {10^{17}}$$
D. $$4 \times {10^{15}}$$

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