An object is placed 35 cm away from a convex mirror with a focal length of magnitude 15 cm. What is the location of the image?

An object is placed 35 cm away from a convex mirror with a focal length of magnitude 15 cm. What is the location of the image?
A. 26.25 cm behind the mirror
B. 10.5 cm behind the mirror
C. 26.25 cm in front of the mirror
D. 10.5 cm in front of the mirror

Correct Option: Answer is B

f= -15cm (diverging mirror); u=35cm; v=?
=(1 )/(f )= (1 )/(u )+(1 )/v
=(1 )/(-15 )= (1 )/(35 )+(1 )/v
=(1 )/(15 )- (1 )/(35 )=(1 )/v
=(-2 )/21= (1 )/(v )
=(-21 )/(2 )= -10.5cm

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