A magnet oscillating in a horizontal plane ha | vedclass

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

Question

(C) The time period of an oscillating magnet in a horizontal plane is given by $T = 2\pi \sqrt{\frac{I}{MB_H}}$,where $B_H = B \cos \phi$ is the horiz

Vedclass · Accepted Answer

$\frac{9}{4\sqrt{3}}$

Vedclass · Answer

(C) The time period of an oscillating magnet in a horizontal plane is given by $T = 2\pi \sqrt{\frac{I}{MB_H}}$,where $B_H = B \cos \phi$ is the horizontal component of the Earth's magnetic field.Thus,$T \propto \frac{1}{\sqrt{B \cos \phi}}$,which implies $B \propto \frac{1}{T^2 \cos \phi}$.Given $T_1 = 2 \ s$,$\phi_1 = 30^o$ and $T_2 = 3 \ s$,$\phi_2 = 60^o$.The ratio of the resultant magnetic fields is $\frac{B_1}{B_2} = \frac{T_2^2 \cos \phi_2}{T_1^2 \cos \phi_1}$.Substituting the values: $\frac{B_1}{B_2} = \left( \frac{3}{2} ight)^2 	imes \frac{\cos 60^o}{\cos 30^o} = \frac{9}{4} 	imes \frac{1/2}{\sqrt{3}/2} = \frac{9}{4\sqrt{3}}$.

$A$ magnet oscillating in a horizontal plane has a time period of $2 \ s$ at a place where the angle of dip is $30^o$ and $3 \ s$ at another place where the angle of dip is $60^o$. The ratio of resultant magnetic fields at the two places is

Similar Questions

Two magnets are placed with their like poles together,and they perform $12$ oscillations in $1$ minute. When they are placed with their unlike poles together,they perform $4$ oscillations in $1$ minute. What is the ratio of the magnetic moments of the magnets?

Two bar magnets oscillate in a horizontal plane in Earth's magnetic field with time periods of $3\,s$ and $4\,s$ respectively. If their moments of inertia are in the ratio of $3: 2$,then the ratio of their magnetic moments 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:

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

$A$ bar magnet is oscillating in the earth's magnetic field with time period $T.$ If its mass is increased four times,then its time period will be

Vedclass Test Series

Exam Paper Generator

Online Exam Module