You are given two lenses, a converging lens with focal length + 10 cm and a diverging lens with focal length -20 cm. Which of the following would produce a real image that is smaller than the object?

Placing the object 5 cm from the converging lens

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Placing the object 15 cm from the converging lens

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Placing the object 25 cm from the converging lens

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Placing the object 15 cm from the diverging lens

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Solution

The correct option is C Placing the object 25 cm from the converging lens
When the object is placed beyond the center of curvature of a converging lens, a real and diminished image is formed between the focus and the center of curvature.
The focal length of the converging lens is $+ 10 c m$
The radius of curvature of the converging lens is $2 f = + 20 c m$
Thus, the object must be placed beyond $20 c m$ or at $25 c m$ .

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