A magnetic dipole of dipole moment 10(hati+hatj+hatk) is:

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We can find the force on the magnetic dipole by using the equation: F = ∇(m . B)

where F is the force, m is the magnetic dipole moment, and B is the magnetic field.

Substituting the given values, we get:

$F= \nabla (10 \hat{i} + 10 \hat{j} +10\hat{k}.0.6\hat{i}+0.4\hat{j}+0.5\hat{k})$

$F= \nabla (6 \hat{i} + 4 \hat{j} +5\hat{k}+6\hat{j}+4\hat{i}+5\hat{k}+6\hat{k}+5\hat{j}+4\hat{i})$

$F= \nabla (10 \hat{i} + 10 \hat{j} +10\hat{k})$

$F= 10\nabla ( \hat{i} + \hat{j} +\hat{k})$

As the magnetic field is not given as a function of position, we can assume that it is uniform over the region where the magnetic dipole is placed. Hence, the gradient of the magnetic field is zero, and the force on the magnetic dipole is zero. Therefore, the force acting on the dipole is zero.

Also check:

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Angular Momentum of Electron	Magnetism formula	Gauss rifle

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A magnetic dipole of dipole moment 10(hati+hatj+hatk) is:

CBSE CLASS XII Related Questions

2.
A rectangular loop of size 5 cm $\times$ 8 cm is lying in the $x$-$y$ plane in a uniform magnetic field $\vec{B} = (2.0\ \text{T})\hat{k}$. The total magnetic flux linked with the loop is:

3.
A square loop of side 0.50 m is placed in a uniform magnetic field of 0.4 T perpendicular to the plane of the loop. The loop is rotated through an angle of $60^\circ$ in 0.2 s. The value of emf induced in the loop will be:

4.
A current of \(4.0\,\text{A}\) flows through a wire of length \(1\,\text{m}\) and cross-sectional area \(1.0\,\text{mm}^2\), when a potential difference of \(2\,\text{V}\) is applied across its ends. Calculate the resistivity of the material of the wire.

5.
Consider the nuclear reaction \( X \to Y + Z \). Let \( M_x \), \( M_y \), and \( M_z \) be the masses of the three nuclei X, Y, and Z respectively. Then which of the following relations hold true?

6.
Draw the plot of potential energy of a pair of nucleons as a function of their separation. Write two important conclusions that can be drawn from this plot.

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A magnetic dipole of dipole moment 10(hati+hatj+hatk) is:

CBSE CLASS XII Related Questions

2.A rectangular loop of size 5 cm $\times$ 8 cm is lying in the $x$-$y$ plane in a uniform magnetic field $\vec{B} = (2.0\ \text{T})\hat{k}$. The total magnetic flux linked with the loop is:

3.A square loop of side 0.50 m is placed in a uniform magnetic field of 0.4 T perpendicular to the plane of the loop. The loop is rotated through an angle of $60^\circ$ in 0.2 s. The value of emf induced in the loop will be:

4.A current of \(4.0\,\text{A}\) flows through a wire of length \(1\,\text{m}\) and cross-sectional area \(1.0\,\text{mm}^2\), when a potential difference of \(2\,\text{V}\) is applied across its ends. Calculate the resistivity of the material of the wire.

5.Consider the nuclear reaction \( X \to Y + Z \). Let \( M_x \), \( M_y \), and \( M_z \) be the masses of the three nuclei X, Y, and Z respectively. Then which of the following relations hold true?

6.Draw the plot of potential energy of a pair of nucleons as a function of their separation. Write two important conclusions that can be drawn from this plot.

Comments

SUBSCRIBE TO OUR NEWS LETTER

2.
A rectangular loop of size 5 cm $\times$ 8 cm is lying in the $x$-$y$ plane in a uniform magnetic field $\vec{B} = (2.0\ \text{T})\hat{k}$. The total magnetic flux linked with the loop is:

3.
A square loop of side 0.50 m is placed in a uniform magnetic field of 0.4 T perpendicular to the plane of the loop. The loop is rotated through an angle of $60^\circ$ in 0.2 s. The value of emf induced in the loop will be:

4.
A current of \(4.0\,\text{A}\) flows through a wire of length \(1\,\text{m}\) and cross-sectional area \(1.0\,\text{mm}^2\), when a potential difference of \(2\,\text{V}\) is applied across its ends. Calculate the resistivity of the material of the wire.

5.
Consider the nuclear reaction \( X \to Y + Z \). Let \( M_x \), \( M_y \), and \( M_z \) be the masses of the three nuclei X, Y, and Z respectively. Then which of the following relations hold true?

6.
Draw the plot of potential energy of a pair of nucleons as a function of their separation. Write two important conclusions that can be drawn from this plot.