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  4. An object is located in a fixed position in front of a screen. Sharp image is obtained on the screen for two positions of a thin lens separated by 10 cm. The size of the images in two situations are in the ratio 3: 2. What is the distance between the screen and the object ?

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Q. An object is located in a fixed position in front of a screen. Sharp image is obtained on the screen for two positions of a thin lens separated by $10\, cm$. The size of the images in two situations are in the ratio 3 : 2. What is the distance between the screen and the object ?

JEE MainJEE Main 2014Ray Optics and Optical Instruments

Solution:

$\frac{m_{1}}{m_{2}} = \frac{3}{2} = \left(\frac{D+10}{D-10}\right)^{2}$
$D = 99\,cm$