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A spherical surface separates air & medium for which u = 1.615 for violet and = 1.600 for red color. A paraxial beam parallel


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A spherical surface separates air & medium for which u = 1.615 for violet and = 1.600 for red color. A paraxial beam parallel to optic axis is incident on the surface as shown. The distance between point of convergence for violet and red color is Af. air 10cm (A) Af=0.41 cm (B) Point of convergence for red is closer to optical centre than that for violet. (C) Point of convergence for violet is closer to optical centre than that for red. (D) Af=0.84 cm. 2. A cubic frame is made of 12 rods each of mass m and length (. D A B H K C 0 E F I G L (A) The moment of inertia of the cube about its face diagonal (BD) is 23 3 m. (B) The moment of inertia of the cube about an axis passing through the center of cube and 14 perpendicular to one of the face (HI) is m. 32 (C) The moment of inertia of the cube about one of the side of cube (AB) is me. (D) The moment of inertia of the cube about an axis passing through the center of the face 23 and the midpoint of the one of the side (JK) is me. 3. A smooth sphere of mass 1 kg is tied to a fixed point by an inextensible string and suspended from the roof. Another identical sphere impinges directly on it with speed 5 m/sec in a direction making 1 an acute angle 30 with the string. Co-efficient of restitution is 30 B (A) Speed of sphere B just after collision is 3 m/s. (B) Speed of sphere A just after collision is 2 m/s. (C) Impulse due to normal force between two spheres during collision is 6 N-S (D) Impulse due to tension in string during collision is 3 N-S. 4. Rank the magnitude of of B. de for the closed paths shown in figure from the smallest to largest. O b d (A) a, b, c, d (B) a, b, d, c (C) a, d, c, b (D) a, c, b, d

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