A concave mirror having a radius of curvature 40 cm is placed in front of an illuminated point source at a distance 30 cm from it. Find the location of the image.
A
40 cm , behind the mirror
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B
60 cm, on the side of the object
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C
40 cm, on the side of the object
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D
60 cm, behind the mirror.
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Solution
The correct option is B 60 cm, on the side of the object Let's look at the schematic first.
We have, f=−20cm.(recall,f=R2)u=−30cm.Usingmirrorformula1u+1v=1fOr,1v=1f−1uSubstitutingthevalues;1v=−120−−130=−120+−130Weget,1v=−160cm−1 Hence, v=−60 cm or 60 cm ,on the side of the object (A negative value of v means that the image is on the opposite side of the incident ray).