An object of height h = 5.4 cm is placed on the optical axis at a distance of x1

Question

An object of height h = 5.4 cm is placed on the optical axis at a distance of x1 = 15 cm from lens 1 as shown in the diagram. The distance separating the two lenses is 264 cm. The magnitudes of the focal lengths of the two lenses are |f1|=10 and |f2|=40 , respectively.

Select the correct option from the brackets to make a true statement:

The final image produced by the two-lens system is a (real/virtual) image which is (upright/inverted) and on the (same/opposite) side of lens 2 compared to the original object.

Explanation / Answer

for lens 1 :

do1 = object distance = 15 cm

f1 = 10 cm

di1 = image distance = ?

using the lens equation

1/do1 + 1/di1 = 1/f1

1/15 + 1/di1 = 1/10

di1 = 30 cm

The final image produced by the two-lens system is a (real) image which is (upright) and on the (opposite) side of lens 2 compared to the original object

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