A short bar magnet of magnetic dipole moment $10^{-5} A\, m^2$ is kept in a uniform magnetic field $3×10^{-4}T$ at an angle of 30°. The torque acting on it is: |
$1.5×10^{-9} Nm$ $3×10^{-9} Nm$ $1.5×10^{-5} Nm$ $3×10^{-5} Nm$ |
$1.5×10^{-9} Nm$ |
The correct answer is Option (1) → $1.5×10^{-9} Nm$ The torque $(τ)$ acting on a magnetic field is - $τ=MB\sin θ$ M, Magnetic Dipole Moment = $10^{-5}Am^2$ B, Magnetic field = $3×10^{-4}T$ $θ=30°$ $∴τ=(10^{-5})(3×10^{-4})(\sin(30°))$ $=1.5×10^{-9} Nm$ |