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A spherical mirrorr forms an image of ma...

A spherical mirrorr forms an image of magnification 3. The object distance, if focal length of mirrorr is `24cm,` may be

A

24 cm

B

16 cm

C

32 cm only

D

16 cm only

Text Solution

Verified by Experts

The correct Answer is:
B
A convex mirror always produces a diminished image. Therefore the given mirror must be a concave mirror. Since the image is erect, it must be a virtual, magnified image and u lt f .
`m=(f)/(f-u) and m= +3` for virtual image and for a concave mirror, f is -ve
`therefore 3=(-24)/(-24-u) therefore 3=(24)/(u+24)`
`therefore 3u+72=24 therefore u=(24-72)/(3)=-16 cm `
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