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Question

A telescope has an objective focal length of \( 150 \, \text{cm} \) and an eyepiece focal length of \(
5 \, \text{cm} \). What is the length of the telescope tube?

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Explanation

**Microscope principle** objective of short focal length forms real image between F_e and 2F_e of eyepiece, eyepiece magnifies to virtual image at D, total magnification product, for f_o=2 cm, f_e=5 cm, L=20 cm, m_o≈10, M_e≈6, M≈60, illustrating high magnification from two stages. Tube length = f_o + f_e . f_o = 150 cm , f_e = 5 cm . Tube length = 150 + 5 = 155 cm . Substituting values gives 155 cm, which matches expected image position and magnification from mirror/lens formula 1/f = 1/v - 1/u (lens) or 1/f = 1/v + 1/u (mirror), confirming sign conventions and refraction principles.

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