5.Magnetism and Matter
medium

Two short magnets having magnetic moments in the ratio $27 : 8,$  when placed on opposite sides of a deflection magnetometer, produce no deflection. If the distance of the weaker magnet is $0.12$ $m$ from the centre of deflection magnetometer, the distance of the stronger magnet from the centre is.......$m$

A

$0.06$

B

$0.08 $

C

$0.12$

D

$0.18$

Solution

(d)$\frac{{{M_1}}}{{{M_2}}} = {\left( {\frac{{{d_1}}}{{{d_2}}}} \right)^3} \Rightarrow \frac{{27}}{8} = {\left( {\frac{{{d_1}}}{{0.12}}} \right)^3}$
$ \Rightarrow \frac{3}{2} = \frac{{{d_1}}}{{0.12}} \Rightarrow 0.18\;m$

Standard 12
Physics

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