Question

The moment of inertia as well as the frequncie of two magnets are in the ratio 3:4 the ratio of thier magnetic momentum is
A)27:64
B)64:27
C)9:16
D)16:9

Answer 1

Answer:

the answer is option A 27:64

Answer 2

Option(A) 27:64 is the correct answer.

Given,

The moment of inertia, as well as the frequencies of two magnets, are in the ratio =  3:4

To Find,

The ratio of their magnetic momentum =?

Solution,

According to the question,

The moment of inertia, as well as the frequencies of two magnets, are in the ratio =  3:4

$(2\pi \sqrt{\frac{I_1}{M_1B} }) / (2\pi \sqrt{\frac{I_2}{M_2B} })= \frac{4}{3} \\\sqrt{\frac{3}{M_1} } / \sqrt{\frac{4}{M_1} } = \frac{4}{3} \\\frac{3}{M_1} / \frac{4}{M_2} = \frac{16}{9} \\M_1 / M_2 = 27 / 64$

Therefore, , M1 / M2 = 27 / 64

The ratio of their magnetic momentum = 27:64

Hence, the ratio of their magnetic momentum is 27:64.

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