A biconvex thin lens of focal length 30cm and aperture diameter 10cm is broken into four identical pieces. Two of the pieces are placed in a coordinate system as shown in the diagram. Find the magnitude of the y coordinate (in cm) of the image if an object is placed at origin.

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answer is 5.

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Detailed Solution

$\frac{1}{f} + \frac{1}{f} = 30, f = 60 \frac{1}{v_{1}} - \frac{1}{- 20} = \frac{1}{60} \Rightarrow v_{1} = - 30, \frac{1}{v} - \frac{1}{- 30} = \frac{1}{60} \frac{1}{0} = m = \frac{v}{v_{1}} = \frac{- 60}{- 30} = 2 \Rightarrow \frac{1}{- 5} = 2 \Rightarrow 1 = - 10$

y coordinate $= - 5$

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