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Q.

A glass sphere of diameter 50 cm and μ=1.5 has a small air bubble. Looking from outside the diameter, the bubble appears to be at a distance 10 cm from the surface. Find the apparent position of the bubble when it is viewed from the diametrically opposite position.

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a

real image, at the pole of 1st face

b

virtual image, at the centre of the sphere

c

virtual image, at the pole of 1st face

d

real image, at the pole of 2nd face

answer is C.

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Detailed Solution

For refraction at first surface :

u = - x , V = 10 cm, 

μ2Vμ1u=μ2μ1R

1101.5(x)=11.525

32x=150+110x=12.5cm

For refraction at second surface :

u=(50-12.5)=37.5cm

μ2Vμ1u=μ2μ1R

1V1.537.5=11.525

1V=1501.537.5V=50cm

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