If the moments of inertia of two bar magnets are same, if their magnetic moments are in the ratio $4 : 9$ and if their frequencies of oscillations are same, the ratio of the induction field strengths in which they are vibrating is

2 : 3

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3 : 2

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4 : 9

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9 : 4

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Solution

The correct option is D $9 : 4$
Given frequency of oscillations are same , therefore the time period of oscillations are also same. Also moment of inertias are also the same.
$2 π \sqrt{\frac{I_{1}}{m_{1} B_{1}}} = 2 π \sqrt{\frac{I_{2}}{m_{2} B_{2}}}$
$m_{1} B_{1} = m_{2} B_{2}$
$\frac{B_{1}}{B_{2}} = \frac{m_{2}}{m_{1}}$
$= 9 : 4$

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If the moments of inertia of two bar magnets are same, if their magnetic moments are in the ratio 4:9 and if their frequencies of oscillations are same, the ratio of the induction field strengths in which they are vibrating is

The correct option is D 9:4Given frequency of oscillations are same , therefore the time period of oscillations are also same. Also moment of inertias are also the same.2π√I1m1B1=2π√I2m2B2m1B1=m2B2B1B2=m2m1=9:4

If the moments of inertia of two bar magnets are same, if their magnetic moments are in the ratio $4 : 9$ and if their frequencies of oscillations are same, the ratio of the induction field strengths in which they are vibrating is