Question

a light ray of yellow colour is incident on a equilateral glass prism and angle of incidence equal to 48 degree and suffers minimum deviation and angle of 36 degree what will be the angle of emergence if the angle of incidence is changed to a.30 degrees B 60° state in each case whether the angle of deviation will be equal to listen or more than 36 degree​

Answer 1

The emergence angle is 48°.

(I). The angle of deviation will be less than 36°.

(II). The angle of deviation will be more than 36°.

Explanation:

Given that,

Incident angle = 48°

Deviation angle = 36°

Prism is equilateral.

So, angle is 60°

We need to calculate the angle of emergence

Using formula of emergence angle

$\delta=(i_{1}+i_{2})-A$

Where, $i_{1}$ = incidence angle

$\delta$ = deviation angle

Put the value into the formula

$36=48+i_{2}-60$

$i_{2}=48^{\circ}$

The emergence angle is 48°.

(b). If the angle of incidence is changed

(I). Incidence angle is 30°

We need to deviation angle

Using formula of deviation

$\delta=i_{1}+i_{2}-A$

Put the value into the formula

$\delta=30+48-60$

$\delta=18^{\circ}$

The angle of deviation will be less than 36°.

(II). Incidence angle is 60°

We need to deviation angle

Using formula of deviation

$\delta=i_{1}+i_{2}-A$

Put the value into the formula

$\delta=60+48-60$

$\delta=48^{\circ}$

The angle of deviation will be more than 36°.

Hence, The emergence angle is 48°.

(I). The angle of deviation will be less than 36°.

(II). The angle of deviation will be more than 36°.

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Topic : emergence angle

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Answer 2

a. The angle of deviation if the angle of incidence is 30° is 18°

b. The angle of deviation if the angle of incidence is 60° is 48°

Given:

Angle of incidence = 48°

Minimum deviation = 36°

Explanation:

The angle of deviation is given by the formula:

δ = (i₁ + i₂) - A

Where,

i₁ = Incidence angle

i₂ = Emergence angle

A = Angle of the prism

Since, the prism is a equilateral.

Thus, the angle of prism is 60°

Since, the prism is in minimum deviation, i₁ = i₂

Thus, the emergence angle is 48°

a. When the incidence angle is 30°

δ = (30° + 48°) - 60°

∴ δ = 18°

b. When the incidence angle is 60°

δ = (60° + 48°) - 60°

∴ δ = 48°