In a spectrometer experiment three prisms A, B and C with same angle of prism but of different 3F materials of refractive indices `mu_(A)= 1.33, mu_(B)= 1.55, mu_(C)= 1.44` are used. The corresponding angles of minimum deviation `D_(A), D_(B), D_(C)` measured will be such that

Options

A. `D_(A) gt D_(B) gt D_(C)`
B. `D_(A) lt D_(B) lt D_(C)`
C. `D_(A) gt D_(C) gt D_(B)`
D. None of these

Answer

C

Explanation

Angle of minimum deviation is given by,
`D_(m)=(mu-1)A`
`D_(m)propto m`
`therefore mu_(A) lt mu_(C) lt mu_(B)`
`implies D_(A) lt D_(C) lt D_(B)`