Q142 / 160 · AP EAMCET 2019 (21 Apr Shift 2) · Physics

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

  • A
    1.62
  • B
    1.45
  • C
    1.55
  • Correct answer
    D
    1.50

Solution

The figure below represents transparent solid sphere.

Figure

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

Hence, the correct answer is option: 'D'.

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