1.

The intensity of gamma-"rays" from a given source is I. On passing through 36mm of lead, it is reduced to I/8. The thickness that will reduce the intensity to I/2, it

Answer»

18mm
12mm
6mm
9mm

Solution :`I=I_(0) e^(-mux)`
`I=I_(0)=e^(-mux)`
`log_(e) 1/I_(0)=-mu x` ...........(i)
`log_(e) (I.)/(I_(0))=-mu x. ..........(ii)`
From eqn (i)
`log_(e) (1/8) =-mux=-36 x..........(iii)`
`log_(e) (1/2)=-mu x. .........(IV)`
From eqn (iii)
`3log_(e) (1/2) =-36X .........(v)`
Divide (v) by (iv)
`(3 log_(e) ""1/2)/(log_(e) ""1/2)=(-36mu)/(-mu x.)`
`3=(12 xx 3)/(x.)`
x.=12 mm


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