In an experiment for determination of refractive index of glass of a prism by `i-delta`, plot it was found thata ray incident at angle `35^circ`, suffers a deviation of `40^circ` and that it emerges at angle `79^circ`. In that case which of the following is closest to the maximum possible value of the refractive index?

Options

A. 1.5
B. 1.6
C. 1.7
D. 1.8

Answer

A

Explanation

`delta=40^(@), I.=79^(@) i=35^(@)`
`delta=i+I.-A`
`rArr" "A=74^(@)`
Let us assume refractive index `mu`
`mu=(sin((A+delta)/(2)))/(sin((A)/(2)))=(sin((74^(@)+40^(@))/(2)))/(sin 37^(@))`
`mu=1.89`
The closest value is 1.5