What should be the angle of incidence for a ray of light which suffers a minimum deviation of $36^{\circ}$ through an equilateral prism?

$48^{\circ}$

Right on! Give the BNAT exam to get a 100% scholarship for BYJUS courses

$28^{\circ}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$36^{\circ}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

$90^{\circ}$

No worries! We‘ve got your back. Try BYJU‘S free classes today!

Open in App

Solution

The correct option is A
$48^{\circ}$

$δ_{m}$ = $36^{\circ}$ , i = ? ∠ A = $60^{\circ}$

$δ_{m}$ = 2i – A

2i = $δ_{m}$ + A

2i = $36^{\circ}$ + $60^{\circ}$ = $96^{\circ}$

i = $\frac{96^{\circ}}{2}$ = $48^{\circ}$

Suggest Corrections

Similar questions

A ray of light suffers refraction through an equilateral prism. The deviation produced by the prism does not depend on the :

(a) angle of incidence (b) colour of light

(a) material of prism (b) size of prism

Q. 1. A ray of light incident at an angle of incidence 48° on a prism of refracting angle 60° suffers minimum deviation. Calculate the angle of minimum deviation.
[Hint : δ_min = 2i – A]

2. What should be the angle of incidence for a ray of light which suffers minimum deviation of 36° through an equilateral prism?
[Hint : A = 60°, i = (A + δ_min) / 2]

a ray of light passing through a equilateral prism suffers minimum deviation . If the angle of minimum deviation is 48, what must be the angle of incidence?

Q. A ray of light suffers a minimum deviation when incident on an equilateral prism of refractive index

\sqrt{2}

. The angle of incidence is :

What should be the angle of incidence for a ray of light suffering minimum deviation?

Join BYJU'S Learning Program

What should be the angle of incidence for a ray of light which suffers a minimum deviation of 36∘​ through an equilateral prism?

The correct option is A 48∘​​​ δm​ = 36∘​, i = ? ∠ A = 60∘​ δm​​ = 2i – A 2i = δm​ + A 2i = 36∘​ + 60∘​​ = 96∘​​ i = 96∘2 = 48∘​​

What should be the angle of incidence for a ray of light which suffers a minimum deviation of $36^{\circ}$ through an equilateral prism?

The correct option is A
$48^{\circ}$

$δ_{m}$ = $36^{\circ}$ , i = ? ∠ A = $60^{\circ}$

$δ_{m}$ = 2i – A

2i = $δ_{m}$ + A

2i = $36^{\circ}$ + $60^{\circ}$ = $96^{\circ}$

i = $\frac{96^{\circ}}{2}$ = $48^{\circ}$