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  4. A convex lens of focal length 20 cm produces images of the same magnification 2 when an object is kept at two distances x1 and x2 (x1 > x2) from the lens. The ratio of x1 and x2 is :-

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Q. 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 :-

JEE MainJEE Main 2019Ray Optics and Optical Instruments

Solution:

Magnification is $2$
If image is real, $x_1 = \frac{3f}{2}$
If image is virtual, $x_2 = \frac{f}{2}$
$\frac{x_1}{x_2} = 3: 1 $