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TS EAMCET · Physics · Ray Optics

When an object of height 12 cm is placed at a distance from a convex lens, an image of height 18 cm is formed on a screen. Without changing the positions of the object and the screen, if the lens is moved towards the screen, another clear image is formed on the screen. The height of this image is

  1. A 4 cm
  2. B 6 cm
  3. C 8 cm
  4. D 10 cm
Verified Solution

Answer & Solution

Correct Answer

(C) 8 cm

Step-by-step Solution

Detailed explanation

For convex lens \(\mathrm{h}_0=12 \mathrm{~cm}, \mathrm{~h}_1=18 \mathrm{~cm}\) By displacement method, \(\begin{aligned} & \mathrm{h}_0=\sqrt{\mathrm{h}_1 \mathrm{~h}_2} \Rightarrow 12=\sqrt{18 \mathrm{~h}_2} \\ & \therefore \mathrm{~h}_2=8 \mathrm{~cm} \end{aligned}\)
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