Two magnets have their magnetic moments in the ratio $27 : 64$ . The ratio of the distances at which they should be placed on either side of a deflection magneto meter in (a) $tan A$ and (b) $tan B$ position so as to give a null deflection is :

3 : 4

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4 : 3

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9 : 8

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9 : 16

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Solution

The correct option is B $3 : 4$
In $tan A$ or $tan B$ position , the relation of the deflection with the distance of the bar magnet is given by
$B_{1} = K \frac{M}{d^{3}}$
For null deflection , magnetic field by both the magnets should be equal i.e
$\frac{M_{1}}{M_{2}} = \frac{d_{1}^{3}}{d_{2}^{3}}$
$\frac{d_{1}^{3}}{d_{2}^{3}} = \frac{27}{64}$
$\frac{d_{1}}{d_{2}} = \frac{3}{4}$

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Two magnets have their magnetic moments in the ratio 27:64. The ratio of the distances at which they should be placed on either side of a deflection magneto meter in (a) tanA and (b) tanB position so as to give a null deflection is :

The correct option is B 3:4In tanA or tanB position , the relation of the deflection with the distance of the bar magnet is given byB1=KMd3For null deflection , magnetic field by both the magnets should be equal i.eM1M2=d31d32 d31d32=2764d1d2=34

Two magnets have their magnetic moments in the ratio $27 : 64$ . The ratio of the distances at which they should be placed on either side of a deflection magneto meter in (a) $tan A$ and (b) $tan B$ position so as to give a null deflection is :