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Question

An object of height 2 cm is placed at a distance 20 cm in front of a concave mirror of focal length 12 cm. Which of the following is true about image?

A
The position of image is 30 cm in front of mirror
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B
Size of the image is 3 cm
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C
The image is real, inverted and magnified
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D
All the above are true
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Solution

The correct option is D All the above are trueSize of object ho=2cmSize of the object hi=?Focal length f=−12cmObject distance u=−20cmImage distance v=?Using mirror formula1f=1v+1u1−12=1v+1−201v=−5+360v=−30cmMagnification (M)=hiho=−vu=30−20=−1.5hi=−1.5×2=−3cmImage will be real, inverted and magnified.

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