Plant appears to bend towards light due to:
Diffusion of auxins towards the shady side of shoot.
Auxins are synthesised at the shoot tip and help the cells to grow longer. When light is coming from one side of the plant, auxin diffuses towards the shaded side of the shoot. This concentration of auxin stimulates the cells to grow longer on the side of the shoot which is away from light. Thus, the plant appears to bend towards the light.