Dual Nature Of Light Question 102
Question: X-ray beam of intensity $ I_{0} $ passes through an absorption plate of thickness d. If absorption coefficient of material of plate is $ \mu $ , the correct statement regarding the transmitted intensity I of X-ray is [MP PET 1999]
Options:
A) $ I=I_{0}(1-{{e}^{-\mu d}}) $
B) $ I=I_{0}{{e}^{-\mu d}} $
C) $ I=I_{0}(1-{{e}^{-\mu /d}}) $
D) $ I=I_{0}{{e}^{-\mu /d}} $
Show Answer
Answer:
Correct Answer: B
Solution:
If intensity of X-ray is decreased by dI, when it passes through a length dx of absorbing material then, the amount of observed intensity is mI dx. Thus, ? dI = mI dx or $ \frac{dI}{dx}+\mu I=0 $ On solving this equation I = I0e? mx =I0e?md (x =d)
BETA
