A point object is placed on the axis of a thin convex lens of focal length 0.05 m at a distance of 0.2 m from the lens and its image is formed on the axis. If the object is now made to oscillate along the axis with a small amplitude of A cm, then what is the amplitude of oscillation of the image? [you may assume, `frac(1)(1 + x ~~ 1 - x`, where x << 1]

Options

A. `frac(4A)(9) xx 10^-2 m`
B. `frac(5A)(9) xx 10^-2 m`
C. `frac(A)(3) xx 10^-2 m`
D. `frac(A)(9) xx 10^-2 m`