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Question

Question: A collimated beam of monochromatic g-rays of intensity I<sub>0</sub> penetrates a material and the i...

A collimated beam of monochromatic g-rays of intensity I0 penetrates a material and the intensity I varies with depth x according to the relationship I = I0eμxI_{0}e^{–\mu x}. Given that a is the distance which causes the intensity to be halved. Then-

A

m = 1/a

B

m = (ln 2)/a

C

m = 2/a

D

m = 1/2a

Answer

m = (ln 2)/a

Explanation

Solution

X= ln2μμ=ln2x=ln2a\frac{\ln 2}{\mu} \Rightarrow \mu = \frac{\ln 2}{x} = \frac{\ln 2}{a}