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Q.

Two convex lenses of focal length 20cm each are place coaxially with a separation of 60 cm between them. The image of the distant object formed by the combination is at _____ cm from the first lens.

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answer is 100.

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Detailed Solution

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For first lens, $\frac{1}{v_{1}} - \frac{1}{\infty} = \frac{1}{20} \Rightarrow v_{1} = 20 cm$

For second lens, $u_{2} = - (60 - 20) = - 40 cm$

$\frac{1}{v_{2}} - \frac{1}{- 40} = \frac{1}{20} \Rightarrow v_{2} = 40 cm$

Distance of final image from first lens = 60+40=100cm

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Two convex lenses of focal length 20cm each are place coaxially with a separation of 60 cm between them. The image of the distant object formed by the combination is at _____ cm from the first lens.