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NIKHIL GARG Grade: 12
        


If an object far away from convex mirror moves towards the mirror, the image also moves. Does it moves faster, slower or at the same speed as compared to the object?

6 years ago

Answers : (1)

vikas askiitian expert
510 Points
										

let a object is placed at  distance from convex mirror of focal length f....


applying mirror formula


              1/v+1/u=1/f...................1


differentiating eq 1 wrt to time


           dv/dt (-1/v^2) -du/dt(1/u^2)=0..........2


  velocity of image =dv/dt=Vi


  velocity of object=du/dt=Uo


 from eq 2


           Vi=Vo(-v^2/u^2)                 (-v/u=m(magnification))


           Vi=-m^2Vo...............3


now here are two cases when magnification is equal to 1 and <1


if at any instant particle is at 2f then its image will have same speed but other than this position image will be slower than object speed because m<1 for other positions....


 


 


 

6 years ago
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