First slide

Ray optics

Question

A microscope consists of two convex lenses of focal lengths 2.0 cm and 6.25 cm placed 15.0 cm apart. Where must the object be placed so that the final virtual image is at a distance of 25 cm from the eye?

Moderate

A

2.5 cm
B

2 cm
C

1.5 cm
D

3 cm

Solution

$\frac{1}{f} = \frac{1}{v} - \frac{1}{u}; \frac{1}{6.25} = \frac{- 1}{25} - \frac{1}{u_{e}} \Rightarrow u_{e} = - 5 cm L = v_{0} + u_{e} \Rightarrow 15 = v_{0} + 5; v_{0} = 10 cm \frac{1}{2} = \frac{1}{10} - \frac{1}{u_{0}} \Rightarrow u_{0} = 2.5 cm$

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