The magnet of a vibration magnetometer is hea | vedclass

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

Question

(C) The time period $T$ of a vibration magnetometer is given by the formula: $T = 2\pi \sqrt{\frac{I}{MB_H}}$,where $I$ is the moment of inertia,$M$ i

Vedclass · Accepted Answer

Increase by $11\%$

Vedclass · Answer

(C) The time period $T$ of a vibration magnetometer is given by the formula: $T = 2\pi \sqrt{\frac{I}{MB_H}}$,where $I$ is the moment of inertia,$M$ is the magnetic moment,and $B_H$ is the horizontal component of the Earth's magnetic field.From the formula,we see that $T \propto \frac{1}{\sqrt{M}}$.Therefore,the ratio of the time periods is $\frac{T_1}{T_2} = \sqrt{\frac{M_2}{M_1}}$.Given that the magnetic moment is reduced by $19\%$,if $M_1 = 100$,then $M_2 = 100 - 19 = 81$.Substituting these values: $\frac{T_1}{T_2} = \sqrt{\frac{81}{100}} = \frac{9}{10} = 0.9$.This implies $T_2 = \frac{T_1}{0.9} = 1.111 T_1$.The percentage increase in the time period is $\frac{T_2 - T_1}{T_1} 	imes 100 = (1.111 - 1) 	imes 100 = 11.1\% \approx 11\%$.Thus,the time period increases by $11\%$.

The magnet of a vibration magnetometer is heated so as to reduce its magnetic moment by $19\%$. By doing this,the periodic time of the magnetometer will

Similar Questions

For a transistor,the current amplification factor $\alpha$ is $0.8$. The transistor is connected in a common emitter configuration. The change in the collector current when the base current changes by $6 \, mA$ is ..... $mA$.

$A$ body of mass $m_1 = 4 \ kg$ moves at $5 \hat{i} \ m/s$ and another body of mass $m_2 = 2 \ kg$ moves at $10 \hat{i} \ m/s$. The kinetic energy of the centre of mass is

In a $\triangle ABC$,if $3a = b + c$,then $\cot \frac{B}{2} \cot \frac{C}{2}$ is equal to :

Which of the following anions cannot be tested by dilute $H_2SO_4$?

When $10 \ g$ of methane is completely burnt in oxygen,the heat evolved is $560 \ kJ$. What is the heat of combustion (in $kJ \ mol^{-1}$) of methane?

Vedclass Test Series

Exam Paper Generator

Online Exam Module