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The focal lengths of objective and eye p...

The focal lengths of objective and eye piece of a microscope are `1.25 cm and 5 cm` respectively. Find the position of the object relative to the objective in order to obtain an angular magnification of `30` in normal adjustment.

Text Solution

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In normal adjustment
`m_e=d/f_e=25/5=5`
`m=m_0m_e`
`m_0=m/m_e=30/5=6`
`m_0=V_0/u_0=-6`
`V_0=-6u_0`
`1/v_0-1/u_0=1/f_0`
`1/(-6u_0)-1/u_0=1/f_0`
`f_0=1.25 cm`
`u_0=-1.46 cm`
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