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A bar magnet is put on the hanger of oscillation magnetometer and is made to oscillate in earth's magnetic field. Frequency of oscillation of bar magnet is found to be 3 Hz at a place where horizontal component of earth's magnetic field is 25 muT . Now a short magnet is placed to the north of magnetometer in such a manner that its North Pole points towards north. Distance of short magnet from the bar magnet hanging inside the magnetometer is 1 m. Frequency of oscillation now becomes 6 Hz. What is magnetic moment of short magnet?

A ring of radius r made of wire of density rho is rotated about a stationary vertical axis passing through its centre and perpendicular to the plane of the ring as shown in the figure. Determine the angular velocity (in rad/s) of ring at which the ring breaks. The wire breaks at tensile stress sigma . Ignore gravity. Take sigma//rho = 4 and r= 1 m.

A statement is followed by two arguments. Decide which of the arguments is/are strong with respect to the statement. Statement: Should income tax be abolished in developed countries? Arguments: 1. Yes, it will motivate to earn more. 2. No, people must learn to share their wealth for the betterment of other people.