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Q.

With a concave mirror, an object is placed at a distance x1 from the principal focus, on the principal axis. The image is formed at a distance x2 from the principal focus. The focal length of the mirror is

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a

x1 x2

b

x1+x22

c

x1x2

d

x1 x2

answer is D.

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Detailed Solution

u=f+x1 and v=f+x2 ; 1f=1v+1u f=uvu+v=f1+x1f+x2f+x1+f+x2=f=x1x2
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With a concave mirror, an object is placed at a distance x1 from the principal focus, on the principal axis. The image is formed at a distance x2 from the principal focus. The focal length of the mirror is