X-ray beam of intensity `I_(0)` passes through an absorption plate of thickness d. If absorption coefficient of material of plant is `mu`, the correct statement regarding the transmitted intensity `l` of X-ray is

Options

A. `I=I_0(1-e^(-mud))`
B. `I=I_0e^(-mud)`
C. `I=I_0(1-e^(-mu//d))`
D. `I=I_0e^(-mu//d)`

Answer

B

Explanation

If intensity decreased by dI, when it passes through a length dx of absorbing material amount of observed intensity is `muIdx`
`:. -dI =muIdximplies (dI)/(dx) +muI=0`
`I=I_(0) e^(-mux) = I_0 e^(-mud) " " [x=d]`