Please help me out with this question, an explanation is appreciated! Select fro

Question

Please help me out with this question, an explanation is appreciated!

Select from the following for the next question: real, upright and larger than the object real, inverted and smaller than the object virtual, inverted and larger than the object virtual, upright and larger than the object virtual, inverted and smaller than the object real, inverted and larger than the object real, upright and smaller than the object virtual, upright and smaller than the object An object is placed 14.5 cm away from a converging lens. The lens has a focal length 10.0 cm. Select the statement from the list above which best describes the image.

Explanation / Answer

we know that the conversing lens is well know as convex lens

here is a little info about it

A converging lens (or convex lens) is curved on both sides. This means the light rays coming out of it come together at a point – they converge. so the convex lens is known as converging lens

here u = -14.5cm = 0.145m

f = 10 cm = 0,1m

as we know that for the convex lens

1 / f = 1 / v + 1 / u

1 / v = 1 / 0.1 + 1 / 0.145

= 16.8965

so v = 0.05918 m

here v is positive so the image of object will be right side of lens

so image is real

now we know that

ho / hi = - v / u

ho = (-v/u) hi

here (-v/u) is negative and hi is also positive

so the image ho = negative

so image will inverted

here M = ho / hi = negative

so image is demagnatised so image will smaller to the object

so option B is correct

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