Arrange the following media in the decreasing order of their respective critical angle with respect to air.
A. Water
B. Diamond
C. Crown glass
D. Dense flint glass
Choose the correct answer from the options given below:
Answer & explanation
Correct answer: option 1
The correct answer is Option (1) → A, C, D, B
Light passing from a medium of refractive index n into air has a critical angle given by
\( \displaystyle \sin C = \frac{1}{n} \)
So the larger the refractive index, the smaller the critical angle. Using the usual values:
\( \text{Water: } n = 1.33,\; C \approx 48.8^\circ \)
\( \text{Crown glass: } n = 1.52,\; C \approx 41.1^\circ \)
\( \text{Dense flint glass: } n = 1.65,\; C \approx 37.3^\circ \)
\( \text{Diamond: } n = 2.42,\; C \approx 24.4^\circ \)
The decreasing order of critical angle is A, C, D, B.
Note: A similar question was also asked in CUET (UG) 2026 on 21-05-2026 (Slot 2).
NCERT (2026-27):
Total Internal Reflection – “… The refractive index of denser medium 1 with respect to rarer medium 2 will be \( n_{12} = 1/\sin i_c \). Some typical critical angles are listed in Table 9.1.”
| Substance medium | Refractive index | Critical angle |
| Water | 1.33 | 48.75 |
| Crown glass | 1.52 | 41.14 |
| Dense flint glass | 1.62 | 37.31 |
| Diamond | 2.42 | 24.41 |