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Q1. Light of wavelength 443 nm in air enters a fishbowl filled with water, and then exits through the crown-glass wall of the container. Find out the wavelengths of the light (a) in the water and (b) in the glass.

Q2. A 1.95-kg particle has a velocity (2.01 i - 3.05 j) m/s, and a 3.10-kg particle has a velocity (1.05 i + 5.99) j m/s. Find out the velocity of the center of mass.

Q3. A 16 cm x 16 cm square loop of wire lies in the xy-plane with its bottom edge on x-axis. The resistance of the loop is 0.490 ohms. A magnetic field parallel to the z-axis is given by B= 0.830 y^2 t, where B is in tesla, y in meters, and t in seconds. What is the size of the induced current in the loop at t = 0.470s?

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