The ratio of intensities of consecutive maxima in the diffraction pattern due to a single slit is

Options

A. `1:4:9`
B. `1:2:3`
C. `1:(4)/(9pi^(2)):(4)/(25pi^(2))`
D. `1:(4)/(pi^(2)):(9)/(pi^(2))`

Answer

C

Explanation

The ratio of intensities of successive maxima is
`1:((2)/(3pi))^(2):((2)/(5pi))^(2):((2)/(7pi))^(2)=1:(4)/(9pi^(2)):(4)/(25pi^(2))`