# A student focused

(i)object distance u = position of convex lens – position of candle

u = - (50 -12) = -38 cm

image distance v = position of screen –position of convex lens

v= 88-50 cm

v= 38 cm

Applying the lens formula:

On calculating focal length will be f=19 cm

(ii) When the candle is shifted towards the lens at a position of 31.0 cm:

Object distance u =-(50-31)

u = -19 cm

Applying the lens formula

Therefore, v is infinity

(iii). If the candle is further shifted towards the lens, then the nature of the image formed will be virtual, erect and magnified

(iv) The ray diagram will be as follows:

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