Dual Nature Of Light Question 372

Question: When the X-ray tube is operated at 1kV, then X- rays of minimum wavelength $ 6\text{.22 }\overset{o}{\mathop{A}}, $ are produced. If the tube is operated at 10 kV, then the minimum wavelength of x-rays will be

Options:

A) $ 0\text{.622 }\overset{o}{\mathop{A}}, $

B) $ 6\text{.22 }\overset{o}{\mathop{A}} $

C) $ 3\text{.11 }\overset{o}{\mathop{A}} $

D) zero

Show Answer

Answer:

Correct Answer: A

Solution:

[a] $ \frac{{\lambda_{m_{2}}}}{{\lambda_{m_{1}}}}=\frac{V_{1}}{V_{2}}\Rightarrow {\lambda_{m_{2}}}=\frac{6.22\times 10^{3}}{10^{4}}=0.622\overset{o}{\mathop{A}}, $