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A mark placed on the surface of glass sp...

A mark placed on the surface of glass sphere is viewed through glass from an oppositely directed position. If the diameter of the sphere is 30 cm, locate the image of the mark. For glass, `mu = 1.5`

Text Solution

Verified by Experts

The ray is travelling from glass to air. So, we have
`mu_(1)=1.5, mu_(2)=1`
`u=-30cm,R=-15cm`
Refraction formula can be written as :
`(mu_(2))/(v)-(mu_(1))/(u)=(mu_(2)-mu_(1))/(R )`
`rArr" "(1)/(v)+(1.5)/(30)=(1-1.5)/(-15)`
`rArr" "(1)/(v)+(1.5)/(30)=(0.5)/(15)`
`rArr" "(1)/(v)=(0.5)/(15)-(1.5)/(15)-(1.5)/(30)=(1)/(30)-(1)/(20)=(-1)/(60)`
`rArr" "v=-60cm`
Negative sign implies that the image is virtual. It is formed on the same side of the refracting surface.
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