(a) An object is placed in front of a convex lens of focal length f. If the distance of the object from the lens is 2f, draw a ray diagram to show the formation of the image. Write the value of magnification in this case.

(b) A student has focussed the image of a candle flame on a white screen using a convex lens. The situation is as given below:

Length of the flame $= 2\text{ cm}$

Focal length of the lens $= 12\text{ cm}$

Distance of the flame from the lens $= 16\text{ cm}$

If the flame is perpendicular to the principal axis of the lens, calculate the values of the following:

(i) Distance of the image from the lens

(ii) Length of the image formed