1.

The intensity of gamma- rays falls to 1/8th of its value after passing through 27 mm of lead toil. What should be thickness of the foil to reduce intensity of gamma- rays of its original value?

Answer»

24 mm
18mm
12mm
9mm

Solution :Using the equaiton `I=I_(0) E^(-MU x) ..........(1)`
Here, `mu="absorption coefficient of FOIL"`
x=thickness of the foil
First case : `I_(0)/8=I_(0) e^(-27mu)`
`1/8=e^(-27mu)`
or `(1/2)^(3)=(e^(-9mu)^(3)`
`therefore 1/2 =e^(-9mu)`
`or 1/2 I_(0)=I_(0) e^(-9mu) ............(2)`
Comparing with equation (1) intensity is reduced to `1/2 I_(0)` when x=9mm


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