For a prism kept in air, it is found that for an angle of incidence $6 0^{\circ}$ , the angle of refraction $^{'} A^{'}$ , angle of deviation $^{'} δ^{'}$ , and angle of emergence $^{'} e^{'}$ become equal. The minimum angle of incidence of a ray that will be transmitted through the prism is

Question

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Answer 1

Given $i = 6 0^{\circ}, A = δ = e$
$δ = i + e - A \Rightarrow δ = 1$
$(∵ e = A)$ and $(δ = i = e$
$μ = \frac{sin ( \frac{A + δ _{m}}{2} )}{sin \frac{A}{2}}$
Here, angle of deviation is minimum ( $∵ i = e)$
$μ = \frac{sin ( \frac{6 0 ^{\circ} + 6 0 ^{\circ}}{2} )}{sin ( 6 0 ^{\circ} / 2 )} = 3$ .

Answer 2

Given

i = 6 0^{\circ}, A = δ = e

δ = i + e - A \Rightarrow δ = 1

(∵ e = A)

and

(δ = i = e

μ = \frac{sin ( \frac{A + δ _{m}}{2} )}{sin \frac{A}{2}}

Here, angle of deviation is minimum (

∵ i = e)

μ = \frac{sin ( \frac{6 0 ^{\circ} + 6 0 ^{\circ}}{2} )}{sin ( 6 0 ^{\circ} / 2 )} = 3

.

For a prism kept in air, it is found that for an angle of incidence $6 0^{\circ}$ , the angle of refraction $^{'} A^{'}$ , angle of deviation $^{'} δ^{'}$ , and angle of emergence $^{'} e^{'}$ become equal. The minimum angle of incidence of a ray that will be transmitted through the prism is

$1.73$

$1.15$

$1.5$

$1.33$

For a prism kept in air, it is found that for an angle of incidence $6 0^{\circ}$ , the angle of refraction $^{'} A^{'}$ , angle of deviation $^{'} δ^{'}$ and angle of emergence $^{'} e^{'}$ become equal. Then, the refractive index of the prism is

The refracting angle of a prism $6 0^{o}$ .The refractive index of the material of the prism is $\frac{7}{3}$ . The limiting angle of incidence of a ray that will be transmitted through the prism in this case will be :

Refractive index of a prism is $7 / 3$ and the angle of prism is $6 0^{\circ}$ . The minimum angle of incidence of a ray that will be transmitted through the prism is

The graph between angle of deviation $(δ)$ and angle of incidence (i) for a triangular prism is represented by:

If the angle of a prism is 60 $^{\circ}$ and angle of minimum deviation is 40 $^{\circ}$ , then the angle of refraction in the prism will be

Revise with Concepts

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For a prism kept in air, it is found that for an angle of incidence 60∘, the angle of refraction ′A′, angle of deviation ′δ′, and angle of emergence ′e′ become equal. The minimum angle of incidence of a ray that will be transmitted through the prism is

1.73

1.15

1.5

1.33

Given i=60∘,A=δ=e δ=i+e−A⇒δ=1 (∵e=A) and (δ=i=e μ=sin2A​sin(2A+δm​​)​ Here, angle of deviation is minimum (∵i=e) μ=sin(60∘/2)sin(260∘+60∘​)​=3​.

For a prism kept in air, it is found that for an angle of incidence 60∘, the angle of refraction ′A′, angle of deviation ′δ′ and angle of emergence ′e′ become equal. Then, the refractive index of the prism is

The refracting angle of a prism 60o.The refractive index of the material of the prism is 37​​. The limiting angle of incidence of a ray that will be transmitted through the prism in this case will be :

Refractive index of a prism is 7/3​ and the angle of prism is 60∘. The minimum angle of incidence of a ray that will be transmitted through the prism is

The graph between angle of deviation (δ) and angle of incidence (i) for a triangular prism is represented by:

If the angle of a prism is 60∘ and angle of minimum deviation is 40∘, then the angle of refraction in the prism will be

Revise with Concepts

Refraction Through Prism

Deviation Produced by a Triangular Prism

Relation Between Angle of Prism and Angle of Deviation, Refractive Index of Materials

Minimum Deviation in a Triangular Prism

Deviation in Reflection, Refraction and Prism

Problems on Tir in Prism

For a prism kept in air, it is found that for an angle of incidence $6 0^{\circ}$ , the angle of refraction $^{'} A^{'}$ , angle of deviation $^{'} δ^{'}$ , and angle of emergence $^{'} e^{'}$ become equal. The minimum angle of incidence of a ray that will be transmitted through the prism is

$1.73$

$1.15$

$1.5$

$1.33$

For a prism kept in air, it is found that for an angle of incidence $6 0^{\circ}$ , the angle of refraction $^{'} A^{'}$ , angle of deviation $^{'} δ^{'}$ and angle of emergence $^{'} e^{'}$ become equal. Then, the refractive index of the prism is

The refracting angle of a prism $6 0^{o}$ .The refractive index of the material of the prism is $\frac{7}{3}$ . The limiting angle of incidence of a ray that will be transmitted through the prism in this case will be :

Refractive index of a prism is $7 / 3$ and the angle of prism is $6 0^{\circ}$ . The minimum angle of incidence of a ray that will be transmitted through the prism is

The graph between angle of deviation $(δ)$ and angle of incidence (i) for a triangular prism is represented by:

If the angle of a prism is 60 $^{\circ}$ and angle of minimum deviation is 40 $^{\circ}$ , then the angle of refraction in the prism will be