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Question

Physics Question on Ray optics and optical instruments

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 10cm10\, 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 ?

A

124.5cm124.5 \,cm

B

144.5cm144.5 \,cm

C

65.0cm65.0 \,cm

D

99.0cm99.0\, cm

Answer

99.0cm99.0\, cm

Explanation

Solution

m1m2=32=(D+10D10)2\frac{m_{1}}{m_{2}} = \frac{3}{2} = \left(\frac{D+10}{D-10}\right)^{2}
D=99cmD = 99\,cm