Critical angle from the speed of light, or the time light takes, in two media
This type of question, asked 3 times: May 2022 S1, 19 Apr 2026 S2, 19 May 2026 S1. All 3 questions below, oldest first.
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Question 1
May 2022 S1
42
The speed of light in two media M1 and M2 are 1.5×108 m/s and 2×108 m/s respectively. If the light undergoes total internal reflection, the critical angle between the two media is
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Question 2
19 Apr 2026 S2
139
Light travels a distance 'x' in time 't0' in air and '4x' in time 't1' in another denser medium. The critical angle for this medium is
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Question 3
19 May 2026 S1
140
A ray of light takes time 't' to travel a distance 'd' in air and it travels a distance '4d', in time 'T' in a certain medium. If T=8t, the critical angle for the pair of media is
[sin(6π)=0.5,sin(4π)=21,sin(3π)=23,sin(2π)=1]