A convex lens with lateral magnification 2 is used to image a point at the bottom of a tank. The image of the point is formed
above the lens. Now a liquid is filled into the tank to a height of
. It is found that the distance of the image of the same point is now 120
above the lens. Find the refractive index of the liquid.
Text Solution
Verified by ExpertsB
The given situation is shown below,

Let
initial object distance from lens
focal length of lens
(initial image distance)
(lateral magnification)
Using, 

After filling liquid into the tank
Let
object distance
(final image distance)
In case 1 , (without liquid)
By lens formula,

In case 2 , (with liquid)
By lens formula,

Now, normal shift, 

(height of liquid filled) 

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