Practicing Success

Target Exam

CUET

Subject

Physics

Chapter

Magnetism and Matter

Question:

Torque needed to deflect a magnet through $ 45^o$ in the earths horizontal magnetic field of induction $0.5\times 10^{-4}T$ is 

(Given the magnetic moment of magnet is$ 4A-m^2$)

Options:

$14.1 \times 10^{-4} N-m$

$1.41 \times 10^{-4} N-m$

$2.4 \times 10^{-4} N-m$

$2 \times 10^{-4} N-m$

Correct Answer:

$1.41 \times 10^{-4} N-m$

Explanation:

$ \tau = \vec{M} \times \vec{B} = MBsin45^o = 4 \times 0.5 \times 10^{-4} \times \frac{1}{\sqrt 2} = 1.41\times 10^{-4}$