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Byju's Answer

Standard XII

Physics

Magnetic Moment

Two magnets w...

Question

Two magnets when placed in $tan A$ position at the same distance cause deflections of $30^{o}$ and $60^{o}$ . The ratio of their magnetic moments is :

3 : 1

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1 : 3

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1 : 2

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2 : 1

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Solution

The correct option is A $1 : 3$
In $tan A$ position , the deflection of the needle is given by
$\frac{μ_{o}}{4 π} \frac{2 M}{d^{3}} = B_{H} tan θ_{A}$
$\frac{tan θ_{A}}{tan θ_{B}} = \frac{M_{A}}{M_{B}}$
$\frac{M_{A}}{M_{B}} = \frac{1}{3}$

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Two magnets when placed in tanA position at the same distance cause deflections of 30o and 60o. The ratio of their magnetic moments is :

The correct option is A 1:3In tanA position , the deflection of the needle is given byμo4π2Md3=BHtanθAtanθAtanθB=MAMBMAMB=13

Two magnets when placed in $tan A$ position at the same distance cause deflections of $30^{o}$ and $60^{o}$ . The ratio of their magnetic moments is :

The correct option is A $1 : 3$
In $tan A$ position , the deflection of the needle is given by
$\frac{μ_{o}}{4 π} \frac{2 M}{d^{3}} = B_{H} tan θ_{A}$
$\frac{tan θ_{A}}{tan θ_{B}} = \frac{M_{A}}{M_{B}}$
$\frac{M_{A}}{M_{B}} = \frac{1}{3}$