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Question

Question: In displacement method the ratio of image heights is 9 : 4 if distance between the object and screen...

In displacement method the ratio of image heights is 9 : 4 if distance between the object and screen is 60 cm, then distance between the two positions of lens in cm is :

A

6

B

12

C

24

D

30

Answer

12

Explanation

Solution

Let DD be the distance between the object and the screen, and xx be the distance between the two positions of the lens. The ratio of image heights is given as 9:4. Using the formula: x=D5x = \frac{D}{5} Given D=60D = 60 cm, x=605=12x = \frac{60}{5} = 12 cm.