A beam of light consisting of red, green and blue colours is incident on a right angled prism, fig. The refractive indices of the material of the prism for the above red, green and blue wavelengths are 1.39, 1.44 and 1.47 respectively. The prism will `

Options

A. separate part of the red color from the green and blue colors
B. separate part of the blue from the red and green colors
C. separate all the three colors from the other two colors
D. not separate even partially , any colors from the other two colors

Answer

A

Explanation

`mu_(red)"sin"I = 1 "sin"r`
`1.39 xx (1)/(1.414) = "sin"r`
`"sin"r lt ` implies` possible(refraction is possible)

`mu_("green")xx "sin"I implies 1.44 xx (1)/(1.41) gt 1 implies "not possible"`
Same for blue `1.47xx (1)/(1.41)gt1`
`implies` It also not possible.