In the diagram shown, an object O is at a distance 10 cm above the water level. Water column in beaker is of 12 cm which is kept on a plane
mirror. If refractive index of water is 4/3 then the distance D behind the mirror where the image
I is formed is?
1. 16 cm
2. 22 cm
3. 19 cm
4. 20 cm
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The distance behind the mirror is 20 cm.
Option (D) is correct.
Explanation:
D (apparent) = D (actual) / µ
D (apparent) = 10 / 4 / 3 = 10 x 3 / 4
D (apparent) = 30 / 4
D (apparent) = 7.5 cm
For the plain mirror I acts as the Object.
12 + 7.5 = 19.5 ~ 20 cm
Thus the distance behind the mirror is 20 cm.
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