A magnet of magnetic moment 50 hati A m 2 is placed along the x -axis in a magnetic field vecB=(0.5 hati+3.0 hatj) T. The torque acting on the magnet is

Question

A magnet of magnetic moment 50 hati A m 2 is placed along the x -axis in a magnetic field vecB=(0.5 hati+3.0 hatj) T. The torque acting on the magnet is (A) 175 hatk N m (B) 150 hatk N m (C) 75 hatk N m (D) 25 √37 hatk N m

Tardigrade Admin · Accepted Answer

vecτ= vecM × vecB ⇒ vecτ =50 hati ×(0.5 hati+3 hatj) =150( hati × hatj)=150 hatk N m

Q. A magnet of magnetic moment $50 \hat{i} A m^{2}$ is placed along the $x$ -axis in a magnetic field $B = (0.5 \hat{i} + 3.0 \hat{j}) T$ . The torque acting on the magnet is

$175 \hat{k} N m$

$150 \hat{k} N m$

$75 \hat{k} N m$

$2537 \hat{k} N m$

$τ = M \times B \Rightarrow τ$
$= 50 \hat{i} \times (0.5 \hat{i} + 3 \hat{j})$
$= 150 (\hat{i} \times \hat{j}) = 150 \hat{k} N m$

Q. A magnet of magnetic moment 50i^Am2 is placed along the x -axis in a magnetic field B=(0.5i^+3.0j^​)T. The torque acting on the magnet is

175k^Nm

150k^Nm

75k^Nm

2537​k^Nm