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The intensity of gamma radiation from a ...

The intensity of gamma radiation from a given source is `I`
On passing through `36 mm` of lead , it is reduced to `(1)/(8)` . The thickness of lead which will reduce the intensity to `(1)/(2)` will be

A

`12mm`

B

`18mm`

C

`9mm`

D

`6mm`

Text Solution

Verified by Experts

The correct Answer is:
A
As `I=I_(0)e^(-mux)`
`:. 1/8e^(-mu.36) and 1/2=e^(-mux)`
`(1/2)^(3)=e^(-mu.36)=(e^(-mux)) or -3mux=-36mu`
`x=36/3 =12mm`
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