The two coherent sources of intensity that ratio `2:8`produce an interference pattern.The values of maximum and minimum intensitites will be representively where `I_(1)` is the intensity of first source

Options

A. `I_(1)`and`9I_(1)`
B. `9I_(1)`and `I_(1)`
C. `2I_(1)`and `8I_(1)`
D. `8I_(1)`and`2I_(1)`

Answer

2

Explanation

`I_(max)=I_(1)+I_(2)+2sqrt(I_(1)I_(2))….(1)`
According to question
`(I_(1))/(I_(2))=(2)/(8)=(1)/(4)`
`:.I_(2)=4I_(1)`,,,,(2)
from eqs.(1) and(2)
`I_(max)=I_(1)+4I_(1)+2sqrt(4I_(1)^(2))`
`=5I_(1)+4I_(1)`
`I_(max)=9I_(1)....(3)`
`I_(min)=I_(1)+I_(2)-2sqrt(4I_(1)I_(2)).......(4)`
From eqs.(2)and(4)
`I_(min)=I_(1)+4I_(1)-2sqrt(4I_(2)^(2))`
`I_(min)=I_(1)`
Hence the corect answer will be (2).