Question

A black spot on the surface of a glass sphere of
refractive index | is viewed from diametrical
opposite position. It appears to be at a distance
of 10 cm from spot. Diameter of sphere is
(1) 5 cm
(2) 10 cm
(3) 15 cm
(4) 20 cm​

Answer 1

Answer:

I think the answer is

10cm

Answer 2

(2) 10 cm

Explanation:

As we know that the refractive index is also given as the ratio of real depth to the apparent depth through the medium.

Here we are given with a glass sphere with refractive index 1 and a dot on the surface of the sphere when observed from a diametrically opposite end then the relation can be given as:

$\mu=\frac{d}{d'}$

where:

$\mu=$ refractive index of  the glass of sphere

$d'=$ apparent depth of the dot = 10 cm

$d=$ actual depth of the sphere = diameter of the sphere, since the dot it observed from a diametrically opposite end.

$1=\frac{d}{10}$

$d=10\ cm$

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TOPIC: refractive index

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