A magnet is suspended in the magnetic meridia | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) Let $M_1$ and $M_2$ be the magnetic moments of the magnets and $H$ be the horizontal component of the Earth's magnetic field.For a magnet in equil

Vedclass · Accepted Answer

$5:8$

Vedclass · Answer

(C) Let $M_1$ and $M_2$ be the magnetic moments of the magnets and $H$ be the horizontal component of the Earth's magnetic field.For a magnet in equilibrium,the restoring torque of the wire equals the magnetic torque: $	au = C\phi = MH \sin 	heta$,where $C$ is the restoring couple per unit twist,$\phi$ is the twist angle of the wire,and $	heta$ is the deflection angle.For the first magnet: $\phi_1 = 180^o - 30^o = 150^o$. Thus,$C(150^o) = M_1 H \sin 30^o$.For the second magnet: $\phi_2 = 270^o - 30^o = 240^o$. Thus,$C(240^o) = M_2 H \sin 30^o$.Dividing the two equations: $\frac{M_1}{M_2} = \frac{150^o}{240^o} = \frac{15}{24} = \frac{5}{8}$.Therefore,the ratio of the magnetic moments is $5:8$.

Similar Questions

$A$ magnetic needle suspended horizontally by an unspun silk fibre,oscillates in the horizontal plane because of the restoring force originating mainly from

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

At a certain place, a magnet makes $30$ oscillations per minute. At another place where the magnetic field is double, its time period will be:

$A$ magnetic needle has a magnetic moment of $5 \times 10^{-2} \text{ A m}^2$ and a moment of inertia of $8 \times 10^{-6} \text{ kg m}^2$. It has a period of oscillation of $2 \text{ s}$ in a magnetic field $\vec{B}$. The magnitude of the magnetic field is approximately:

$A$ dip needle vibrates in the vertical plane perpendicular to the magnetic meridian. The time period of vibration is found to be $2$ seconds. The same needle is then allowed to vibrate in the horizontal plane and the time period is again found to be $2$ seconds. Then the angle of dip is.....$^o$

Vedclass Test Series

Exam Paper Generator

Online Exam Module