If the scattering intensity of a liquid is 8 units at a wavelength of 500 nm,then the scattering intensity at a wavelength of 400 nm will be approximately

Options

A. 13 units
B. 16 units
C. 20 units
D. 24 units

Answer

C

Explanation

According to Rayleigh scattering
`Iprop(1)/(lambda_(4))therefore(I_(2))/(I_(I))=((lambda_(1))/(lambda_(2)))^(4)`
`(I_(2))/(I_(1))=((500)/(400))^(4)`
`I_(2)=I_(1)((5)/(4))^(4)=8xx((5)/(4))^(4)=(625)/(32)=20` units