A small object is enclosed in a transparent solid sphere of radius 8   cm . The object is situated at 2…

A small object is enclosed in a transparent solid sphere of radius 8 cm. The object is situated at 2 cm from the centre of the sphere. If its image appears to be at 3.2 cm from the nearest side then the refractive index of the material of the sphere is
  1. 1.62
  2. 1.45
  3. 1.55
  4. 1.50

Solution

The figure below represents transparent solid sphere.

From the figure,

u=-6 cm

v=-3.2 cm

The formula for the refractive indexes of first and second
medium with respect to air,

μ2v-μ1u=μ2-μ1R

Substitute the values in the above equation.

1-3.2-μ-6=1-μ-8

Simplify the above equation.

μ=1.5

Asked in: AP EAMCET 2019 (21 Apr Shift 2)

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