A magnet freely suspended in a vibration magn | vedclass

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

Question

(B) The time period of a magnet in a vibration magnetometer is given by $T = 2\pi \sqrt{\frac{I}{MH}}$,where $I$ is the moment of inertia,$M$ is the m

Vedclass · Accepted Answer

$9 	imes 10^{-6} ~T$

Vedclass · Answer

(B) The time period of a magnet in a vibration magnetometer is given by $T = 2\pi \sqrt{\frac{I}{MH}}$,where $I$ is the moment of inertia,$M$ is the magnetic moment,and $H$ is the horizontal component of the earth's magnetic field.Since the frequency of oscillation $f = \frac{1}{T}$,we have $f = \frac{1}{2\pi} \sqrt{\frac{MH}{I}}$.This implies $f \propto \sqrt{H}$,or $H \propto f^2$.Given that $f_A = 40 	ext{ oscillations/min}$ and $f_B = 20 	ext{ oscillations/min}$.We have $\frac{H_B}{H_A} = \left( \frac{f_B}{f_A} ight)^2$.Substituting the values: $\frac{H_B}{36 	imes 10^{-6}} = \left( \frac{20}{40} ight)^2 = \left( \frac{1}{2} ight)^2 = \frac{1}{4}$.Therefore,$H_B = \frac{36 	imes 10^{-6}}{4} = 9 	imes 10^{-6} ~T$.

$A$ magnet freely suspended in a vibration magnetometer makes $40$ oscillations per minute at place $A$ and $20$ oscillations per minute at a place $B$. If the horizontal component of earth's magnetic field at $A$ is $36 \times 10^{-6} ~T$,then its value at $B$ is

Similar Questions

Consider the reaction at $300\, K$:
$C_6H_{6(l)} + \frac{15}{2} O_{2(g)} \to 6 CO_{2(g)} + 3 H_2O_{(l)}$; $\Delta H = -3271\, kJ$
What is $\Delta U$ for the combustion of $1.5\, mol$ of benzene at $27\, ^\circ C$? .....$kJ$

Chromatophores take part in

$A$ conducting circular loop is placed in a uniform magnetic field,$B = 0.025 \, T$,with its plane perpendicular to the magnetic field. The radius of the loop is made to shrink at a constant rate of $1 \, mm/s$. The induced $e.m.f.$ when the radius is $2 \, cm$ is

The radioactive sources $A$ and $B$ have half-lives of $2 \ hr$ and $4 \ hr$ respectively and initially contain the same number of radioactive atoms. At the end of $2 \ hr$,the ratio of their rates of disintegration is:

$A$ plane is parallel to two lines whose direction ratios are $1, 0, -1$ and $-1, 1, 0$ and it contains the point $(1, 1, 1)$. If it cuts the coordinate axes at $A, B, C$,then the volume of the tetrahedron $OABC$ (in cubic units) is

Vedclass Test Series

Exam Paper Generator

Online Exam Module