A bar magnet A of magnetic moment MA is found to oscillate at a frequency twice that of magnet B of magnetic moment MB when placed in a vibrating magnetometer. We may say that

Question

A bar magnet A of magnetic moment MA is found to oscillate at a frequency twice that of magnet B of magnetic moment MB when placed in a vibrating magnetometer. We may say that (A) MA=2 MB (B) MA=8 MB (C) MA=4 MB (D) MB=8 MA

Tardigrade Admin · Accepted Answer

v=(1/2 π) √(M BH/I) ⇒ v propto √M ⇒ (vA/vB)=√(MA/MB) ⇒ (2/1)=√(MA/MB) ⇒ MA=4 MB

Q. A bar magnet $A$ of magnetic moment $M_{A}$ is found to oscillate at a frequency twice that of magnet $B$ of magnetic moment $M_{B}$ when placed in a vibrating magnetometer. We may say that

$M_{A} = 2 M_{B}$

$M_{A} = 8 M_{B}$

$M_{A} = 4 M_{B}$

$M_{B} = 8 M_{A}$

$v = \frac{1}{2 π} \frac{M B _{H}}{I}$
$\Rightarrow v \propto M$
$\Rightarrow \frac{v _{A}}{v _{B}} = \frac{M _{A}}{M _{B}}$
$\Rightarrow \frac{2}{1} = \frac{M _{A}}{M _{B}}$
$\Rightarrow M_{A} = 4 M_{B}$

Q. A bar magnet A of magnetic moment MA​ is found to oscillate at a frequency twice that of magnet B of magnetic moment MB​ when placed in a vibrating magnetometer. We may say that

MA​=2MB​

MA​=8MB​

MA​=4MB​

MB​=8MA​