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  • A concave lens of focal length 15 cm forms an image 10 cm from the lens. How far is the object placed from the lens? Draw the ray diagram.

Q 11.     A concave lens of focal length 15 cm forms an image 10 cm from the lens. How far is the object placed from the lens? Draw the ray diagram.

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Focal length, f = -15 cm

Image distance, v = -10 cm ( As in case of the concave lens image is formed on the same side as the object is placed)

Let the object distance be u. 

As per the lens formula

\\\frac{1}{f}=\frac{1}{v}-\frac{1}{u}\\ \frac{1}{u}=\frac{1}{v}-\frac{1}{f}\\ \frac{1}{u}=\frac{1}{-10}-\frac{1}{-25}\\ v=-30\ cm

The object is placed at a distance of 30 cm from the lens.

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