A point object moves towards a concave mirror with a speed 10 c m s - 1 along the principal axis. The magnitude of the velocity of object with respect to image when the object is at distance of 15cm from the pole is __ c m s - 1 . (Focal length of the mirror kept at rest is 10cm )

 

0 1 View | Posted 3 weeks ago
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    Answered by

    Raj Pandey | Contributor-Level 9

    3 weeks ago

    v = f u u - f = ( - 10 ) ( - 15 ) - 15 + 10 c m = - 30 c m

    v image   = d v d t = - v u 2 d u d t = - - 30 - 15 2 ( 10 ) c m s - 1 = - 40 c m s - 1

    V object   = d u d t = + 10 c m s - 1

    Relative velocity = v object   - v image  

    = 10 - ( - 40 ) = 50 c m s - 1

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