Solve Q) Find out the relation between the refractive index (μ) of the glass prism and ∠A for the - Physics - Wave Optics

Question

Solve
Q) Find out the relation between the refractive index ( μ ) of
the glass prism and ∠ A for the case when the angle of prism
(A) is equal to the angle of minimum deviation ( δ m ) Hence
obtain the value of the refractive index for angle of prism A = 60
°

Suparth Grover · Accepted Answer

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

Solve Q). Find out the relation between the refractive index ( μ ) of the glass prism and ∠ A for the case when the angle of prism (A) is equal to the angle of minimum deviation ( δ m ). Hence obtain the value of the refractive index for angle of prism A = 60 ° .

Solve
Q). Find out the relation between the refractive index ( $μ$ ) of the glass prism and $∠$ A for the case when the angle of prism (A) is equal to the angle of minimum deviation ( $δ_{m}$ ). Hence obtain the value of the refractive index for angle of prism A = 60 $°$ .