Choose the correct statements :
(A) The angle of incidence corresponding to an angle of refraction 90° is called critical angle (ic).
(B) Refractive index of denser medium \( \mu = \displaystyle\frac{1}{\sin i_c} \)
(C) For i > ic, Snell's law of refraction cannot be satisfied.
(D) The refractive index of air increases with decrease in density.
(E) Rainbow is the combined effect of dispersion, refraction and reflection of sunlight by droplets
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 2
The correct answer is Option (2) → (A), (B), (C) and (E) only
When light goes from a denser to a rarer medium, it bends away from the normal. Snell's law for this case (denser medium of refractive index \( \mu \), rarer medium air) is
\( \displaystyle \mu \sin i = \sin r \)
(A) The angle of incidence corresponding to an angle of refraction 90° is called critical angle (ic). — Correct. This is the definition of the critical angle: the refracted ray just grazes the surface.
(B) Refractive index of denser medium \( \mu = \frac{1}{\sin i_c} \) — Correct. Putting \( i = i_c \) and \( r = 90^\circ \) in Snell's law gives \( \mu \sin i_c = 1 \), the refractive index of the denser medium with respect to the rarer one.
(C) For i > ic, Snell's law of refraction cannot be satisfied. — Correct. For \( i \gt i_c \), \( \mu \sin i \gt 1 \), so there is no angle \( r \) with \( \sin r = \mu \sin i \). No refraction is possible and all the light is reflected.
(D) The refractive index of air increases with decrease in density. — Incorrect. The refractive index of air decreases as its density decreases; hot, less dense air near a road bends light less, which produces a mirage.
(E) Rainbow is the combined effect of dispersion, refraction and reflection of sunlight by droplets — Correct. Sunlight is refracted and dispersed on entering a raindrop, reflected at its back surface and refracted again on leaving.
Note: Statements (A), (B) and (C) of this question are from the latest textbook (2026-27). Statement (E), that a rainbow is the combined effect of dispersion, refraction and reflection of sunlight by droplets, is printed only in the pre-rationalised textbook (2022-23). It was removed from the latest book, and it also appears to be out of the CUET 2026 syllabus.
NCERT (2026-27):
Total Internal Reflection – “… The angle of incidence corresponding to an angle of refraction 90°, say ∠AO3N, is called the critical angle (ic) for the given pair of media. … For values of i larger than ic, Snell’s law of refraction cannot be satisfied, and hence no refraction is possible. The refractive index of denser medium 1 with respect to rarer medium 2 will be n12 = 1/sin ic.”
NCERT (Pre-rationalised edition, 2022-23):
The Rainbow – “The rainbow is an example of the dispersion of sunlight by the water drops in the atmosphere. This is a phenomenon due to combined effect of dispersion, refraction and reflection of sunlight by spherical water droplets of rain.”