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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 I//8. the thicknes of lead, which will reduce the intensity to I/2 will be:

A

` 18 mm `

B

12 mm

C

6 mm

D

9 mm

Text Solution

Verified by Experts

The correct Answer is:
B
`therefore l=l_(0)e^(-kx) Rightarrow (1)/(l_(0))=e^(-kx)`
`therefore ln((1)/(8))=-kxx36`
`or 3ln 2 =kxx36.....(i)`
In second casse `ln(1/2)=-kxxx`
or `ln (2^(-1))=-kx `
or `ln 2=kx ` .......(ii)
From (i) and (ii)
`3xx(kx)=kxx36`
or x=12mm.
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