A lamp is placed 1 m from a screen. Between the lamp and the screen is placed a

Question

A lamp is placed 1 m from a screen. Between the lamp and the screen is placed a converging lens of focal length 24 cm. The filament of the lamp can be imaged on the screen. As the lens position is varied with respect to the lamp
-no sharp image will be seen for any lens position.
-a sharp image will be seen when the lens is halfway between the lamp and the screen.
-a sharp image will be seen when the lens is 40 cm from the lamp.
-a sharp image will be seen when the lens is 60 cm from the lamp.
-a sharp image will be seen when the lens is either 40 cm from the lamp or 60 cm from the lamp, but not otherwise.
Can someone please show me how to answer this question?

Explanation / Answer

its a quadratic there are two answers both 40 and 60 will produce a sharp image.

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