Question

# A convex lens of focal length $$20$$ cm produces images of the same magnification $$2$$ when an object is kept at two distances $$x_1$$ and $$x_2$$ $$(x_1 > x_2)$$ from the lens. The ratio of $$x_1$$ and $$x_2$$ is?

A
5:3
B
2:1
C
4:3
D
3:1

Solution

## The correct option is D $$3:1$$Magnification is $$2$$If image is real, $$x_1=\dfrac{3f}{2}$$If image is virtual, $$x_2=\dfrac{f}{2}$$$$\dfrac{x_1}{x_2}=3:1$$.Physics

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