KVPY SX SB Exam 2018 Question Paper

Question : 35 of 120

Marks: +1, -0

Consider a glass cube slab of dielectric bound by the planes x = 0, x = a; y = 0, y = b; z = 0, z = c; with b > a > c. The slab is placed in air and has a refractive index of n. The minimum value for n such that all rays entering the dielectric at y = 0 reach y = b is

1
$√ 2$
$√3$
2

Validate

Solution:

θ ≥ i_c

90-i_c ≥ i_c

2i_c ≤ 90º

i_c ≤ 45º

\sin i_c ≤1/√2

1/µ≤1/√2

μ ≥√ 2

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