a simple one

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 thickness of lead which will reduce the intensity to I/2 will be ?

3 Answers

4
UTTARA ·

I = IO e-μx

In qs

I/8 = I e-μ{ 36 x 10-3}

=> μ = 50

I/2 = I e-μ x

1/2 = e-50 x

=> x = 0.0138 m = 13.8 mm

4
UTTARA ·

@Bhargav : Plzz verify the ans (I'm not sure abt the calculation part)

39
Dr.House ·

Intensity of gamma radiation follows
i=I e^-ux
where I=original intensity
i=intensity after penetration through x

log I/i=ux

acc to the ques

(log 8)/(log2)=36/x=3

x=12mm

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