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If a mark of size 0.2 cm on the surface ...

If a mark of size 0.2 cm on the surface of a glass sphere of diameter 10 cm and `mu = 1.5 `is viewed through the diametrically opposite point, where will the image be seen and of what size? (in mm)

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To solve the problem, we need to find the position and size of the image formed by a mark on the surface of a glass sphere when viewed from the diametrically opposite point. Here’s the step-by-step solution: ### Step 1: Identify Given Data - Diameter of the glass sphere, \(D = 10 \, \text{cm}\) - Radius of the glass sphere, \(R = \frac{D}{2} = 5 \, \text{cm}\) - Refractive index of glass, \(\mu = 1.5\) - Size of the mark (object size), \(O = 0.2 \, \text{cm}\) - Object distance, \(u = -D = -10 \, \text{cm}\) (negative as per sign convention) ...
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