Dual Nature Of Light Question 98
Question: X-rays of wavelength 0.1 Å allowed to fall on a metal get scattered. The wavelength of scattered radiation is 0.111 Å. If h = 6.624 $ \times $ 10?34 J-s and m0 = 9 $ \times $ 10?31 kg, then the direction of the scattered photons will be
Options:
A) cos?1 (0.547)
B) cos?1 (0.4484)
C) cos?1 (0.5)
D) cos?1 (0.3)
Show Answer
Answer:
Correct Answer: A
Solution:
Direction of scattered photon $ \cos \varphi =1-\frac{\Delta \lambda m_{e}c}{h} $ Here $ \Delta \lambda =0.011{\AA} $
$ \therefore \cos \varphi =1-\frac{0.011\times {{10}^{-10}}\times 9.1\times {{10}^{-31}}\times 3\times 10^{8}}{6.624\times {{10}^{-34}}} $ $ =1-0.453=0.547 $
$ \therefore \varphi ={{\cos }^{-1}},(0.547) $
BETA
