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In a concave mirror, if an object is placed at a distance of 10 cm and foal length of 20 cm, the two characteristics of the image formed will be?

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Real and inverted

Virtual and erect

Real and erect

Virtual and inverted

answer is B.

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Detailed Solution

In a concave mirror, if an object is placed at a distance of 10 cm and foal length of 20 cm, the two characteristics of the image formed will be virtual and erect.
Given,
The Focal length of the concave mirror,

f = - 20 cm

Distance of object from the mirror,

u = - 10 cm

Using the mirror formula,

\frac{1}{v} + \frac{1}{u} = \frac{1}{f}

\frac{1}{v} = \frac{1}{f} - \frac{1}{u}

\frac{1}{v} = \frac{1}{(- 20)} - \frac{1}{(- 10)}

\frac{1}{v} = - \frac{1}{20} + \frac{1}{10} = \frac{1}{20}

v = \frac{1}{20}

v = + 20 cm

The image is virtual and erect as well as enlarged.
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