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A telescope has an objective of focal length `50cm` and an eyepiece of focal length `5cm.` The least distance of distinct vision is `25cm.` The telescope is focused for distinct vision on a scale `2m` away from the objective. Calculate (a) magnification produced and (b) separation between objective and eyepiece.

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Correct Answer - B::C
Given, `f_0=50cm` and `f_e=5cm`
For objective `1/v-1/-200=1/50`
`:. v_0=200/3cm`
`m_0=v_0/u_0=((200//3))/(-200)=-(1)/(3)`
For eyepiece `1/-25-1/u_e=1/5`
`:. u_e=-25/6cm`
and `m_e=v_e/u_e=(-25)/-(25//6)=6`
(a) Magnification, `m=m_0xxm_e=-2`
(b) Separation between objective and eyepiece,
`L=v_0+|u_e|=200/3+25/6=425/6`
`=70.83cm`

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