Two magnets are held together in a vibration | vedclass

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

Question

(D) The frequency of oscillation in a vibration magnetometer is given by $f = \frac{1}{2\pi} \sqrt{\frac{mB_H}{I}}$.When like poles are together,the e

Vedclass · Accepted Answer

$5 : 4$

Vedclass · Answer

(D) The frequency of oscillation in a vibration magnetometer is given by $f = \frac{1}{2\pi} \sqrt{\frac{mB_H}{I}}$.When like poles are together,the effective magnetic moment is $M_1 = m_1 + m_2$ and the frequency is $f_1 = 12 	ext{ oscillations/min}$.When unlike poles are together,the effective magnetic moment is $M_2 = m_1 - m_2$ and the frequency is $f_2 = 4 	ext{ oscillations/min}$.Since $f \propto \sqrt{M}$,we have $\frac{f_1}{f_2} = \sqrt{\frac{m_1 + m_2}{m_1 - m_2}}$.Substituting the values: $\frac{12}{4} = \sqrt{\frac{m_1 + m_2}{m_1 - m_2}} \implies 3 = \sqrt{\frac{m_1 + m_2}{m_1 - m_2}}$.Squaring both sides: $9 = \frac{m_1 + m_2}{m_1 - m_2}$.$9m_1 - 9m_2 = m_1 + m_2 \implies 8m_1 = 10m_2$.Therefore,$\frac{m_1}{m_2} = \frac{10}{8} = \frac{5}{4}$.

Similar Questions

Two bar magnets of the same mass,length,and breadth,but with magnetic moments $M$ and $2M$ respectively,have a time period of $3 \, s$ when placed in the same position (sum position). What will be the time period when they are placed in the different position (difference position)?

The frequency of vibration in a vibration magnetometer of the combination of two bar magnets of magnetic moments $M_1$ and $M_2$ is $6 \ Hz$ when like poles are tied together and it is $2 \ Hz$ when the unlike poles are tied together, then the ratio $M_1: M_2$ is

$A$ magnet is suspended horizontally in the Earth's magnetic field. When it is made to oscillate in a horizontal plane,its time period is $T$. If a wooden block of the same moment of inertia as the magnet is attached to it,what will be the new time period of the system?

$A$ bar magnet is oscillating in the Earth's magnetic field with a period $T$. What happens to its period and motion if its mass is quadrupled?

Magnets $A$ and $B$ are geometrically similar,but the magnetic moment of $A$ is twice that of $B$. If $T_1$ and $T_2$ are the time periods of oscillation when their like poles and unlike poles are kept together respectively,then the ratio $\frac{T_1}{T_2}$ will be:

Vedclass Test Series

Exam Paper Generator

Online Exam Module