An object is at a distance of 20 m form a convex lens of focal length 0.3m The lens forms an image of the object moves away form the lens at a speed of `5m//s` the speed and direction of the image will be :
A
`1.16xx10^(-3)` m/s towards the lens
B
`2.26xx10^(-3)` m/s away from the lens
C
`0.92xx10^(-3)` m/s away from the lens
D
`3.22xx10^(-3)` m/s towards the lens
Text Solution
Verified by Experts
The correct Answer is:
A
Since the object is very far from the lens , the image is formed approx, at focus , so, `m(long)=(+v^2)/u^2=+(0.3/20)^2` Also , for an object moving along the optic axis : `V_i=V_0m` (long) So, `V_i=+5xx(3/200)^3 = +1.16xx10^(-3)` m/s For lens, image moves in the same direction as object.
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