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A glass sphere of diameter 20 cm is cons...

A glass sphere of diameter 20 cm is constructed with a material of refractive index 1.5. A beam of light strikes the sphere and converges at a point 40 cm behind the pole of a spherical surface. Find the position of the image.

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To solve the problem step by step, we will use the lens maker's formula for refraction at a spherical surface. ### Step 1: Identify the given values - Diameter of the glass sphere = 20 cm - Radius of the sphere (R) = Diameter / 2 = 20 cm / 2 = 10 cm - Refractive index of glass (μ2) = 1.5 - Refractive index of air (μ1) = 1.0 - The image is formed at a distance (v) = -40 cm (since it is behind the pole) ...
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