Arrange the following in the correct order as the angle of incidence in a denser medium is gradually increased.
(A) The refracted ray bends away from the normal.
(B) The refracted ray grazes along the surface of separation.
(C) The light is totally reflected back into the denser medium.
(D) The ray passes undeviated when incident normally.
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 3
The correct answer is Option (3) → (D), (A), (B), (C)
When light passes from a denser to a rarer medium, Snell’s law \( n_d\sin i = n_r\sin r \) gives \( r \gt i \), and the angle of refraction reaches 90° at the critical angle \( i_c \), where \( \sin i_c = n_r/n_d \). Follow what happens as i increases from zero:
(D) The ray passes undeviated when incident normally. At i = 0, r = 0, so the ray goes straight through.
(A) The refracted ray bends away from the normal. For \( 0 \lt i \lt i_c \), \( \sin r = (n_d/n_r)\sin i \) is larger than \( \sin i \).
(B) The refracted ray grazes along the surface of separation. At \( i = i_c \) the angle of refraction becomes 90°.
(C) The light is totally reflected back into the denser medium. For \( i \gt i_c \) no refracted ray is possible, so total internal reflection occurs.
So the order is (D), (A), (B), (C).
NCERT (2026-27):
Total Internal Reflection – “… When a ray of light enters from a denser medium to a rarer medium, it bends away from the normal, for example, the ray AO1B in Fig. 9.11.”
Total Internal Reflection – “… As the angle of incidence increases, so does the angle of refraction, till for the ray AO3, the angle of refraction is \( \pi/2 \). The refracted ray is bent so much away from the normal that it grazes the surface at the interface between the two media. … If the angle of incidence is increased still further (e.g., the ray AO4), refraction is not possible, and the incident ray is totally reflected. This is called total internal reflection.”