Two magnetic dipoles X and Y are placed at a separation d, with their axes perpendicular to each other. The dipole moment of Y is twice that of X. A particle of charge q is passing through their midpoint P, at angle q = 45° with the horizontal line, as shown in figure. What would be the magnitude of force on the particle at that instant? (d is much larger than the dimensions of the dipole)

Question:

Two magnetic dipoles $\mathrm{X}$ and $\mathrm{Y}$ are placed at a separation $d$, with their axes perpendicular to each other. The dipole moment of $Y$ is twice that of $X$. A particle of charge $q$ is passing through their midpoint $\mathrm{P}$, at angle $\theta=45^{\circ}$ with the horizontal line, as shown in figure. What would be the magnitude of force on the particle at that instant? ( $d$ is much larger than the dimensions of the dipole)

  1. $\left(\frac{\mu_{0}}{4 \pi}\right) \frac{M}{(d / 2)^{3}} \times q v$

  2. 0

  3. $\sqrt{2}\left(\frac{\mu_{0}}{4 \pi}\right) \frac{M}{(d / 2)^{3}} \times q v$

  4. $\left(\frac{\mu_{0}}{4 \pi}\right) \frac{2 M}{(d / 2)^{3}} \times q v$


Correct Option: 2

JEE Main Previous Year 1 Question of JEE Main from Physics Magnetism and Matter chapter.
JEE Main Previous Year 8 April 2019 II

Solution:

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