SATHEE: Optics Question 959

Optics Question 959

Question: A glass slab has the left half of refractive index $n_{1},$ and the right half of $n_{2} = 3 n_{1}$ . The effective refractive index of the whole slab is

Options:

A) $\frac{n_{1}}{2}$

B) $2 n$

C) $\frac{3 n_{1}}{2}$

D) $\frac{2 n_{1}}{3}$

Show Answer

Answer:

Correct Answer: C

Solution:

[c] Total time taken to travel distance d is:

$\frac{d}{2 n_{1}} + \frac{d}{2 n_{2}} = d (\frac{n_{1} + n_{2}}{2 n_{1} n_{2}}) = \frac{d}{n_{e f f}};$

$n_{2} = 3 n_{1} \Rightarrow n_{e f f} = \frac{3}{2} n_{1}$

$= \frac{6 \times 10^{5} c m}{1.0003 - 1}$

$= 0.2 c m = 2 m m$

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Optics Question 959

Question: A glass slab has the left half of refractive index n1, and the right half of n2=3n1 . The effective refractive index of the whole slab is

Options:

Answer:

Solution:

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Question: A glass slab has the left half of refractive index $n_{1},$ and the right half of $n_{2} = 3 n_{1}$ . The effective refractive index of the whole slab is