Dual Nature Of Light Question 110
Question: Ka wavelength emitted by an atom of atomic number Z = 11 is l. Find the atomic number for an atom that emits Ka radiation with wavelength 4l [IIT-JEE (Screening) 2005]
Options:
A) Z = 6
B) Z = 4
C) Z = 11
D) Z = 44
Show Answer
Answer:
Correct Answer: A
Solution:
$ \sqrt{f_{1}}=\sqrt{\frac{v}{{\lambda_{1}}}}=a( 11-1 ) $ and $ \sqrt{f_{2}}=\sqrt{\frac{v}{{\lambda_{2}}}}=a( Z-1 ) $ By dividing, $ \sqrt{\frac{{\lambda_{2}}}{{\lambda_{1}}}}=\frac{10}{Z-1} $ Þ $ \sqrt{\frac{4}{1}}=\frac{10}{Z-1} $ Þ Z = 6
BETA
