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Question

In a concave mirror experiment, an object is placed at a distance x1 from the focus and the image is formed at a distance x2 from the focus. The focal length of the mirror would be
  1. x1x2
  2. x1x2
  3. x1x22
  4. x1x2


Solution

The correct option is B x1x2
Given u=(f+x1) and v=(f+x2)
The focal length f=uvu+v=(f+x1)(f+x2)(f+x1)+(f+x2)
On solving, we get f2=x1x2 or f=x1x2

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