A uniform magnetic field of $2 \times 10^{-3} \mathrm{~T}$ acts along positive $\mathrm{Y}$-direction. A rectangular loop of sides $20$ $\mathrm{cm}$ and $10 \mathrm{~cm}$ with current of $5 \mathrm{~A}$ is $\mathrm{Y}-\mathrm{Z}$ plane. The current is in anticlockwise sense with reference to negative $\mathrm{X}$ axis. Magnitude and direction of the torque is :
JEE MAIN 2024, Diffcult
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$\overrightarrow{\mathrm{M}}=\mathrm{iA}$
$=5 \times(0.2) \times(0.1)(-\hat{\mathrm{i}})$
$=0.1(-\hat{\mathrm{i}})$
$\vec{\tau}=\overrightarrow{\mathrm{M}} \times \overrightarrow{\mathrm{B}}=0.1(-\hat{\mathrm{i}}) \times\left(2 \times 10^{-3}\right)(\hat{\mathrm{j}})$
$=2 \times 10^{-4}(-\hat{\mathrm{k}}) \mathrm{N}-\mathrm{m}$
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