A pencil (AB) of length 20 cm is moving ...

A pencil (AB) of length 20 cm is moving along the principal axis of a concave mirror MM', with a velocity `5 m//s` approaching the mirror. The mirror itself is moving away from the pencil at a speed of 2 m/s. Find the rate of change of length of the image of the pencil at the instant end A is at a distance of 60 cm from the mirror.

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The correct Answer is:

`(9)/(4) m//s`

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