Consider a converging lens that has a focal length (f). Which one of these is co

Question

Consider a converging lens that has a focal length (f). Which one of these is correct about the image when the object is placed in front of the lens at a distance of (f/2 )?

(option a) The image is real, erect, and magnified

(option b) The image is real, erect, and diminished

(option c) The image is real, inverted, and diminished

(option d) The image is virtual, erect, and magnified

(option e) The image is virtual, erect, and has the same size as the object

(option f) The image is virtual, inverted, and magnified

Explanation / Answer

lens equation

1/f = 1/di + 1/do

1/f = 1/di + 1/(f/2)

di = - f

di is negative so image is virtual.

magnification(M) = -di/do = - (-f)/(f/2) = 2

so image is upright with respect to the object. and magnified

so option (d) is correct.

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