An object is at a distance of 20 m from a convex lens of focal length 0.3 m. The lens forms an image of the object. If the object moves away from the lens at a speed of 5 m/s, the speed and direction of the image will be:

The correct option is A
1.16×10⁻⁷m/stowards the lens
From lens equation
1/v - 1/u = 1/f
1/v - 1/(-20) = 1/(0.3) = 10/3
1/v = 10/3 - 1/20 = (200 - 3)/60 = 197/60
v = 60/197
Velocity of image wrt. to lens is given by
vI/L = m²vO/L
direction of velocity of image is same as that of object
vO/L = 5 m/s
vI/L = (60/197)²(5) = 1.16×10⁻⁷m/s towards the lens