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Q.

A glass sphere ( $μ$ = 1.5) of radius 20cm has a small air bubble 4 cm below its centre. The sphere is viewed from outside and along a vertical line through the bubble. The apparent depth of the bubble below the surface of sphere is (in cm)

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a

13.33

b

15

c

26.67

d

30

answer is B.

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Detailed Solution

$\begin{array}{l} \frac{μ_{2}}{v} - \frac{μ_{1}}{u} = \frac{μ_{2} - μ_{1}}{R} \\ \frac{1}{V} - \frac{1.5}{- 24} = \frac{1 - 1.5}{- 20} \\ \frac{1}{V} = \frac{1}{40} - \frac{3}{48} = \frac{1}{40} - \frac{1}{16} \\ \frac{1}{V} = \frac{2 - 5}{80} V = \frac{- 80}{3} = - 26.67 cm \end{array}$

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A glass sphere ( μ= 1.5) of radius 20cm has a small air bubble 4 cm below its centre. The sphere is viewed from outside and along a vertical line through the bubble. The apparent depth of the bubble below the surface of sphere is (in cm)