Questions in magnetism

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The period of oscillation of a vibration magnetometer depends on which of the following factors. (where I is the moment of inertia of the magnet about the axis of suspension, M is the magnetic moment of the magnet and H is the external magnetic field)
The time period of oscillation of a bar magnet suspended horizontally along the magnetic meridian is T0. If this magnet is replaced by another magnet of the same size and pole strength but with double the mass, the new time period will be
Two short magnets having magnetic moments in the ratio 27 : 8, when placed on opposite sides of a deflection magnetometer, produce no deflection. If the distance of the weaker magnet is 0.12 m from the centre of deflection magnetometer, the distance of the stronger magnet from the centre is
The magnet of a vibration magnetometer is heated so as to reduce its magnetic moment by 19%. By doing this the periodic time of the magnetometer will
A magnet makes 40 oscillations per minute at a place having magnetic field intensity of $0.1 \times 10^{–5} T$. At another place, it takes $2.5 sec$ to complete one vibration. The value of earth’s horizontal field at that place is
A tangent galvanometer has a coil of 25 turns and radius of 15 cm. The horizontal component of the earth’s magnetic field is $3 \times 10^{–5} T$. The current required to produce a deflection of $45^o$ in it, is
The time period of a vibration magnetometer is $T_0$. Its magnet is replaced by another magnet whose moment of inertia is 3 times and magnetic moment is 1/3 of the initial magnet. The time period now will be
The error in measuring the current with a tangent galvanometer is minimum when the deflection is about
Before using the tangent galvanometer, its coil is set in
The time period of a thin bar magnet in earth’s magnetic field is T. If the magnet is cut into two equal parts perpendicular to its length, the time period of each part in the same field will be

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