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If the intensity of an X-ray becomes I(0...

If the intensity of an X-ray becomes `I_(0)/3` from `I_(0)` after travelling 3.5cm inside a target then its intensity after travelling next 7 cm will be

A

`I_(0)/6`

B

`I_(0)/12`

C

`I_(0)/9`

D

`I_(0)/27`

Text Solution

AI Generated Solution

To solve the problem step by step, we will use the exponential attenuation formula for the intensity of X-rays as they pass through a material. The formula is given by: \[ I = I_0 e^{-\mu t} \] where: - \( I \) is the intensity after traveling a distance \( t \), - \( I_0 \) is the initial intensity, - \( \mu \) is the linear attenuation coefficient of the material, ...
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