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  4. An air bubble in sphere having 4 cm diameter appears 1 cm from surface nearest to eye when looked along diameter. If a μg=1.5, the distance of bubble from refracting surface is

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Q. An air bubble in sphere having $4 \,cm$ diameter appears $1 \,cm$ from surface nearest to eye when looked along diameter. If ${ }_{a} \mu_{g}=1.5$, the distance of bubble from refracting surface is

Ray Optics and Optical Instruments

Solution:

$v=1 \,cm , R=2 \,cm$
By using $\frac{\mu_{2}}{v}-\frac{\mu_{1}}{u}=\frac{\mu_{2}-\mu_{1}}{R}$
image
$\frac{1}{-1}-\frac{1.5}{u}=\frac{1-1.5}{-2} $
$\Rightarrow u=-1.2 \,cm$