Question:
A short bar magnet placed with its axis at $ 30^{\circ} $ with a uniform external magnetic field of $ 0.16\,T $ experiences a torque of magnitude $ 0.032\,J $ . The magnetic moment of the bar magnet will be
A short bar magnet placed with its axis at $ 30^{\circ} $ with a uniform external magnetic field of $ 0.16\,T $ experiences a torque of magnitude $ 0.032\,J $ . The magnetic moment of the bar magnet will be
Updated On: Jun 23, 2023
- $ 0.23\,JT^{-1} $
- $ 0.40\,JT^{-1} $
- $ 0.80\,JT^{-1} $
- zero
Hide Solution
Verified By Collegedunia
The Correct Option is B
Solution and Explanation
Magnetic moment
$ M=\frac{t}{B\sin \theta }=\frac{0.032}{0.16\times \sin {{30}^{o}}} $
$=0.40\,\,JT^{-1} $
Was this answer helpful?
0
0
Top Questions on Magnetism and matter
- A straight magnetic strip has a magnetic moment of \( 44 \, \text{A m}^2 \). If the strip is bent in a semicircular shape, its magnetic moment will be \( \dots \) A m\(^2\). \[ \text{(Given } \pi = \frac{22}{7} \text{)} \]
- JEE Main - 2024
- Physics
- Magnetism and matter
- A particle of mass m is moving in the potential
\[ V(x) = \begin{cases} V_0 + \frac{1}{2} m \omega_{0P}^2 x^2 & \quad \text{if } x > 0 \\\infty & \quad \text{if } x \leq 0 \end{cases}\]
Figures P, Q, R, and S show different combinations of the values of \( \omega_0 \) and \( V_0 \).
Let \( E^{(P)}_j \), \( E^{(Q)}_j \), \( E^{(R)}_j \), and \( E^{(S)}_j \) with \( j = 0, 1, 2, \ldots \), be the eigen-energies of the j-th level for the potentials shown in Figures P, Q, R, and S, respectively. Which of the following statements is/are true?- GATE PH - 2024
- Physics
- Magnetism and matter
- The magnetic moment and moment of inertia of a magnetic needle as shown are, respectively, \(1.0 \times 10^{-2} \, \text{A} \, \text{m}^2\) and \(\frac{10^{-6}}{\pi^2} \, \text{kg} \, \text{m}^2\). If it completes 10 oscillations in 10 s, the magnitude of the magnetic field is:
- NEET (UG) - 2024
- Physics
- Magnetism and matter
- The incorrect relation for a diamagnetic material (all the symbols carry their usual meaning and ε is a small positive number) is:
- NEET (UG) - 2024
- Physics
- Magnetism and matter
- The magnetic potential energy, when a magnetic bar of magnetic moment \( \vec{m} \) is placed perpendicular to the magnetic field \( \vec{B} \), is:
- NEET (UG) - 2024
- Physics
- Magnetism and matter
View More Questions
Questions Asked in Punjab PMET exam
- A wheel is rotating at $ 900\,\,rpm $ about its axis. When the power is cut off it comes to rest in $ 1\min $ . The angular retardation in $ rad/{{s}^{2}} $ is
- Punjab PMET - 2011
- Motion in a plane
- Galileo writes that for angles of projection of a projectile at angles $\left(45^{\circ}+\theta\right)$ and $\left(45^{\circ}-\theta\right)$, the horizontal ranges described by the projectile are in the ratio
- Punjab PMET - 2011
- Motion in a plane
- The potential energy of a weightless spring compressed by a distance a is proportional to
- Punjab PMET - 2011
- Oscillations
- The plane of a dip circle is set in the geographic meridian and the apparent dip is $\delta_1$. It is then set in a vertical plane perpendicular to the geographic meridian. The apparent dip angle is $\delta_2$. The diclination $\theta$ at the plane is
- Punjab PMET - 2011
- the earth's magnetic field
- The wavelength of the first line of Balmer series is $6563\,??. The Rydberg constant for hydrogen is about
View More Questions
Concepts Used:
Magnetism & Matter
Magnets are used in many devices like electric bells, telephones, radio, loudspeakers, motors, fans, screwdrivers, lifting heavy iron loads, super-fast trains, especially in foreign countries, refrigerators, etc.
Magnetite is the world’s first magnet. This is also called a natural magnet. Though magnets occur naturally, we can also impart magnetic properties to a substance. It would be an artificial magnet in that case.
Read More: Magnetism and Matter
Some of the properties of the magnetic field lines are:
- The lines and continuous and outside the magnet, the field lines originate from the North pole and terminate at the South pole
- They form closed loops traversing inside the magnet.
- But here the lines seem to originate from the South pole and terminate at the North pole to form closed loops.
- More number of close lines indicate a stronger magnetic field
- The lines do not intersect each other
- The tangent drawn at the field line gives the direction of the field at that point.