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CBSE Class 12-science Answered

 An eyepiece of a telescope consists of two plano convex lenses L1 and L2 each of focal length f separated by a distance of 2ƒ/3. Where should L1 be placed relative to focus of the objective lens of telescope, so that the final image through L2 is seen at infinity?
Asked by adhithiashok | 03 Mar, 2018, 08:55: AM
answered-by-expert Expert Answer
Combined focal length F of eye piece is given by
begin mathsize 12px style fraction numerator 1 over denominator F space end fraction space equals space 1 over f plus 1 over f minus fraction numerator begin display style 2 over 3 f end style over denominator f squared end fraction space equals 2 over f minus fraction numerator 2 over denominator 3 f end fraction equals fraction numerator 4 over denominator 3 f end fraction H e n c e space F space equals space 3 over 4 f end style

In telescope, Focal point of objective lens should be at focal point of eye-piece.
Hence L1 is placed at a distance (3/4)f from the focal point of objective lens
Answered by Thiyagarajan K | 03 Mar, 2018, 02:20: PM

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