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Physics · 2024 · 3 marks
CBSE 2024 · Region 1 · Set 2 · Q24
A bar magnet of magnetic moment 2 · 5 JT^-1 lies aligned with the direction of a uniform magnetic field of 0 · 32 T. (a) Find the amount of work done…
A bar magnet of magnetic moment $\displaystyle 2 \cdot 5 \mathrm{JT}^{-1}$ lies aligned with the direction of a uniform magnetic field of $\displaystyle 0 \cdot 32 \mathrm{~T}$.
(a)
Find the amount of work done to turn the magnet so as to align its magnetic moment (i) normal to the field direction, and (ii) opposite to the field direction.
(b)
What is the torque on the magnet in above cases (i) and (ii) ?
Marking-scheme solution
(ii) \[\begin{aligned}
\mathrm{W} & =-\mathrm{mB}\left(\operatorname{Cos} 180^{\circ}-\operatorname{Cos} 0^{\circ}\right) \\
& =2 \mathrm{mB} \\
& =2 \times 0.8 \\
\mathrm{~W} & =1.6 \mathrm{~J}
\end{aligned}
\]
(b) (i)
\[\begin{aligned}
\tau & =\mathrm{mB} \sin \theta \\
& =0.8 \mathrm{Nm}
\end{aligned}
\]
(ii) \[\tau=0
\]
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