an object is placed in front of a convex mirror of focal length 50 cm image formed is half of its size find the position of image
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Explanation:
f=-20 cm, since convex mirror is diverging one, and u=50 cm, substituting these values 1/v becomes -0.07 and v is -14.28 cm where - denotes the image is virtual and it is just behind the mirror. If we take f=+20 cm and u=-50 cm following the mathematical behind sign convention there is no physical meaning.
For a diverging case, focal length is always negative and considering the object distance u it is always positive because object is real one. we may get v as +14.28 cm if we have chosen f=+20cm and u=-50 cm, but looking at the sign the image is real. It won’t happen in convex mirror.
For sign rules refer the book “UNIVERSITY PHYSICS WITH MODERN PHYSICS”-13th Edition
siddharthasingh23:
Focal length is 60
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at the focus...........
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