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Question

# An object is placed at a distance of 40 cm in front of a concave mirror of focal length 20 cm. The image produced is:

A
real, inverted and smaller in size
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B
real, inverted, and of same size
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C
real and erect
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D
virtual and inverted
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Solution

## The correct option is B real, inverted, and of same sizeObject distance, u=−40cmFocal length, f=−20cmAccording to mirror formula,1u+1v=1f or 1v=1f−1uor 1v+1−20−1(−40)=1−20+1401v=−2+140=−140 or v=−40cmNegative sign shows that image is infront of concave mirror.The image is real.Magnification, m=−vu=−(−40)(−40)=−1The image is of the same size and inverted.

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