Question

(b) A man, standing in front of a mirror, finds his image having a very small head and
legs of normal size. What type of mirrors are used in designing such a mirror?
What are the two factors on which the lateral displacement of an emergent ray from a glass slab depend​

Answer 1

Answer:

because of the reflection

Answer 2

1. The mirrors are convex, and plane respectively. As in convex mirrors, m < 1, thus head is small, and in plane mirrors, m = 1, thus legs are of same size.

2. Factors on which the lateral shift of and emergent ray from a glass slab depend:-

• Angle of incidence.
• Refractive index of the medium.
• Thickness of glass slab.
• Wavelength of the light ray.

More:

• In aspects of refraction, the Snell's law has a great importance. It says that the ratio of angle of incidence to the ratio of angle of refraction is constant.
• Lateral shift is same as lateral displacement and is denoted by d.
• Formula of lateral displacement:-

$\rm d = \dfrac{t \times sin \ (i - r)}{cos \ r}$

where, t = thickness of glass slab.

• Total internal reflection is a phenomena where the angle of refraction becomes 90° for a certain value of i. Angle of incidence is thus known as the critical angle and is denoted by $\rm i_c$ or simply $\rm C$.

In such case,

$\rm sin \ C = {}^{2} \mu {}_{1}$

• Principle of Reversibility:

$\rm {}^{2} \mu {}_{1} = \dfrac{1}{{}^{1} \mu {}_{2}}$.