JEE Main 2019 — Physics solution

JEE Main2019Physics

A rectangular coil (Dimension 5 cm × 2.5 cm) with 100 turns, carrying a current of 3 A in the clock-wise direction, is kept centered at the origin and in the X-Z plane. A magnetic field of 1 T is applied along X-axis. If the coil is tilted through $4 5^{\circ}$ about Z-axis, then the torque on the coil is.

A
0.55 Nm
B
0.27 Nm
C
0.42 Nm
D
0.38 Nm

Solution

$τ = M \times B τ = 100 \times 3 \times 5 \times 2.5 \times 1 0^{- 4} \times 1 \times \frac{1}{2} = 0.27 N m$

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