A beam of light converges towards a point 10 cm behind a concave mirror of focal length f. If after reflection, the reflected beam converges at a distance f/2 on the principal axis in front of the mirror, then f is equal to

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answer is 4.

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Detailed Solution

Here the object distance u = +10 cmImage distance V=−f2∴ 1(−f2)+1(+10)=1(−f)⇒ 2f−1f=110⇒f=10 cm

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