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Q.

A point object on the principal axis of a converging mirror of focal length 10 cm is at distance of 5 cm from pole and moving towards the pole of mirror with velocity 2 mm/s with respect to ground. Mirror is also moving in the same direction as object with a velocity of 4 mm/s with respect to ground. What will be the velocity of image with respect to ground at same instant (in mm/s)

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Detailed Solution

m=+2dxOPdt=+2  mm/s  (+ sign means velocity of separation)dxIPdt=4×2=+8  mm/s  (+ sign means velocity of separation)
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