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Q.

A compound microscope has an objective and eye-piece as thin lenses of focal lengths 1 cm and 5 cm respectively. The distance between the objective and the eye-piece is 20 cm. The distance (in cm) at which the object must be placed in front of the objective if the final image is located at 25 cm from the eye - piece, is  95p. Find value of p.

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Detailed Solution

Final image distance L=v0+ue=20​ for objective 11=1v0+1u0​ for eye piece 1fe=−125+1ue ⇒ 15+125=1ue​∴ue=256 cm ∴vo=20−ue​ue=20−256=956​∴1u0=1−1v0=1−695=8995 ∴u0=9589
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