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Figure shows plane waves refracted from air to water using Huygens' principle and a,b,c,d,e are lengths as shown in the diagram. The refractive index of water w.r.t air is the ratio

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a/e

b/e

b/d

d/b

answer is C.

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Detailed Solution

$l e t θ_{1} a n d θ_{2} a r e t h e a n g l e s a s s h o w n i n d i g . F r o m t h e S n e l l s l a w, 1 \sin (90 - θ_{1}) = μ \sin θ_{2} \Rightarrow 1 \frac{b}{c} = μ \times \frac{d}{c} ∴ μ = \frac{b}{d}$

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