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Questions  

A lens forms a real image of an object. The distance from the object to the lens is x cm and that from the lens to the image is y cm. the graph (Fig.) shows the variation of y with x.

It can be deduced that the lens is

a
converging and of focal length 10 cm.
b
converging and of focal length 20 cm.
c
converging and of focal length 40 cm
d
diverging and of focal length 20 cm

detailed solution

Correct option is A

A diverging lens if ruled out because both x and y are positive values. Both x and y equal 20 cm at their smallest sum, which occurs whenx + y = 40 cm = 4 f ∴ f =  10 cmThis indicates a converging lens of focal length = 10 cm

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