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Q.

Two identical glass rods S1 and S2 (refractive index =1.5) have one convex end of radius of curvature 10 cm. They are placed with the curved surfaces at a distance d as shown in the figure, with their axes (shown by the dashed line) aligned. When a point source of light P is placed inside rod S1 on its axis at a distance of 50 cm from the curved face, the light rays emanating from it are found to be parallel to the axis inside S2. The distance d (in cm) is

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answer is 70.00.

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Detailed Solution

At glass rod S21.5∞−1u2=1.5−1+10⇒u2=−20 cm At glass rod S11d−20−1.5(−50)=1−1.5−10⇒d=70 cm
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