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  • Figure shows a solid glass sphere of radius 5 cm that has a small air bubble O trapped at a distance 2 cm from the centre C . The refractive index of the material of glass is 1.

Figure shows a solid glass sphere of radius 5 cm that has a small air bubble O trapped at a distance 2 cm from the centre C . The refractive index of the material of glass is 1.5 .Find the apparent position (in cm) of the bubble from point P, when seen through the surface of the sphere from an outside point P, 

                   

Option: 1

-5


Option: 2

-2.5


Option: 3

-7.5


Option: 4

-10


Answers (2)

best_answer

 

 

 

Here rays are striking on concave side of the sphere

 

\begin{array}{l}{\text { Using, } \frac{\mu_{2}}{v}-\frac{\mu_{1}}{u}=\frac{\left(\mu_{2}-\mu_{1}\right)}{R}} \\ {\text { Here, } u=-P O=-(P C-O C)=-(5-2) \mathrm{cm}=-3 \mathrm{cm}}\end{array}

\begin{aligned} R &=-5 \mathrm{cm} ; \text { and } \mu_{1}=\frac{3}{2} \text { and } \mu_{2}=1 \\ \frac{1}{v}-\frac{3 / 2}{(-3)}=\frac{(1-3 / 2)}{(-5)} & \Rightarrow v=-\frac{5}{2} \mathrm{cm}=-2.5 \mathrm{cm} \end{aligned}

 

Posted by

vishal kumar

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