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Q.

A triangular medium has varying refracting index n=n0+ax, where x is the distance (in cm) along x-axis from origin and n0=43. A ray is incident normally on face OA at the mid-point of OA. The range of a so that light does not escape through face AB when it falls first time on the face AB (OA = 4 cm, OB = 3 cm and AB = 5 cm): (Surrounding medium is air)

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a

a>19

b

a>29

c

a>13

d

None of these

answer is B.

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Detailed Solution

Clearly, PM=32cmFor TIR, 370>C or)370> sin-2(3/2)370>sin−1⁡1n0+a(3/2)35>1n0+3a23n0+9a2>59a2>1a>29
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