(c) A Convex lens forms an inverted image four times as the size of the object which is placed at a distance 60 cm in front of the lens, size of object is 5 cm. (i) Find the focal length of the lens. (ii) Find the position of the image. (iii) Find the size of the image. (iv) State the characteristics of the image formed.
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A convex lens is also known as a converging lens. A converging lens is a lens that converges rays of light that are traveling parallel to its principal axis.
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Answer:
As per convention u=-60, v=4×60=240
It is not clear if the image is real. Assume it is real and is formed on the other side of the lens.
Put these values in the formula
1/v-1/u=1/f
1/240+1/60=1/f
(1/60)(1/4+1)=1/f
(1/60)(5/4)=1/f
5/(60×4)=1/f
1/48=1/f
f=48 positive sign of f confirms that lens is convex
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