Q. A bar magnet of length $3\ cm$ has points $A$ and $B$ along its axis at distances of $24\ cm$ and $48\ cm$ on the opposite sides. Ratio of magnetic fields at these points will be

A) 8
B) 1/2 $\sqrt{2}$
C) 3
D) 4
Explanation

(a) Both points $A$ and $B$ lie on axial position
$B \propto \frac{1}{d^{3}} \Rightarrow \frac{B_{A}}{B_{B}} = \left( \frac{d_{B}}{d_{A}} \right)^{3} = \left( \frac{48}{24} \right)^{3} = \frac{8}{1}$

Dr. Abubacker
Reviewed by Dr. Abubacker

Physics Educator & NEET/JEE Specialist

Ph.D. in Physics with 19+ years of teaching experience.