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Consider a light travelling in air is incident into a medium of refractive index √2n. The incident angle is twice that of refracting angle. Then, the angle of incidence will be

Asked in JEE Main 27th June 1st Shift 2022 · Snell's law, slabs and apparent depth

• (1) sin⁻¹(√n)
• (2) cos⁻¹(√n/2)
• (3) sin⁻¹(√2n)
• (4) 2 cos⁻¹(√n/2)

Step-by-step solution

Why the other options are wrong

• (1) Treats sin i as the index ratio directly.
• (2) Gives the refraction angle r instead of i=2r.
• (3) Sets sin i=μ, ignoring sin r.

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