Questions in magnetism

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The strength of the magnetic field in which the magnet of a vibration magnetometer is oscillating is increased 4 times its original value. The frequency of oscillation would then become
A certain amount of current when flowing in a properly set tangent galvanometer, produces a deflection of 45°. If the current be reduced by a factor of $\sqrt 3 $, the deflection would
Two normal uniform magnetic field contain a magnetic needle making an angle 60° with F. Then the ratio of $\frac{F}{H}$ is
A short magnetic needle is pivoted in a uniform magnetic field of strength 1 T. When another magnetic field of strength $\sqrt 3 \,T$ is applied to the needle in a perpendicular direction, the needle deflects through an angle $\theta$, where $\theta$ is
Two magnets are held together in a vibration magnetometer and are allowed to oscillate in the earth's magnetic field with like poles together, 12 oscillations per minute are made but for unlike poles together only 4 oscillations per minute are executed. The ratio of their magnetic moments is
To measure which of the following, is a tangent galvanometer used
When $\sqrt 3 $ampere current is passed in a tangent galvanometer, there is a deflection of 30° in it. The deflection obtained when 3 amperes current is passed, is
The period of oscillations of a magnetic needle in a magnetic field is 1.0 sec. If the length of the needle is halved by cutting it, the time period will be
The time period of a freely suspended magnet is 2 sec. If it is broken in length into two equal parts and one part is suspended in the same way, then its time period will be
The bob of a simple pendulum is replaced by a magnet. The oscillations are set along the length of the magnet. A copper coil is added so that one pole of the magnet passes in and out of the coil. The coil is short-circuited. Then which one of the following happens

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