Two short magnets having magnetic moments in the ratio 27: 8 when placed on opposite sides of a deflection magnetometer produces 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:

Question

Two short magnets having magnetic moments in the ratio 27: 8 when placed on opposite sides of a deflection magnetometer produces 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: (A) 0.06 m (B) 0.08 m (C) 0.12 m (D) 0.18 m

Tardigrade Admin · Accepted Answer

(M1/M2)=((d1/d2))3 ⇒ (27/8)=((d1/0.12))3 (3/2)=(d1/0.12) ⇒ d1=0.18 m

Q. Two short magnets having magnetic moments in the ratio 27: 8 when placed on opposite sides of a deflection magnetometer produces 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:

$0.06 m$

$0.08 m$

$0.12 m$

$0.18 m$

$\frac{M _{1}}{M _{2}} = (\frac{d _{1}}{d _{2}})^{3}$
$\Rightarrow \frac{27}{8} = (\frac{d _{1}}{0.12})^{3}$
$\frac{3}{2} = \frac{d _{1}}{0.12}$
$\Rightarrow d_{1} = 0.18 m$

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

0.06m

0.08m

0.12m

0.18m