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Excess Pressure in Bubbles

A glass spher...

Question

A glass sphere of radius $5 c m$ has a small bubble $2 c m$ from its centre. The bubble is viewed along a diameter of the sphere, from the side on which it lies. How far from the surface will it appear? Refractive index of glass is $1.5$ .

A

7.5 c m

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B

6.5 c m

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C

2.5 c m

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D

4.5 c m

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Solution

The correct option is D $2.5 c m$

$We know Refrection formula$

$\frac{u_{2}}{v} - \frac{u_{1}}{u} = \frac{u_{2} - u_{1}}{12}$

$\frac{1}{v} - \frac{3}{2 (- 3)} = \frac{1 - 3 / 2}{- 5}$

$\frac{1}{v} = \frac{1}{10} - \frac{1}{2} = \frac{- 2}{5}$

$v = - 2 \cdot 5 c m .$
Answer $- (c)$

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