Solve
Q). Find out the relation between the refractive index () of the glass prism and A for the case when the angle of prism (A) is equal to the angle of minimum deviation (). Hence obtain the value of the refractive index for angle of prism A = 60.
using formula :-
sin[(A+Dm)/2] = n sin(A/2)
and substituting Dm=A . we get,
sinA= n sin(A/2)
2sin(A/2)cos(A/2)=n sin(A/2)
therfore ,
n= 2cos(A/2)
and for A=60o we get n=31/2
sin[(A+Dm)/2] = n sin(A/2)
and substituting Dm=A . we get,
sinA= n sin(A/2)
2sin(A/2)cos(A/2)=n sin(A/2)
therfore ,
n= 2cos(A/2)
and for A=60o we get n=31/2