In Fig. the magnetic needle has magnetic moment 6.7×10–2Am2 and moment of inertia I = 7.5×10–6 kg m2. It performs 10 complete oscillations in 6.70 s. What is the magnitude of the magnetic field ?

T=6.7010=0.67 sB=4π2IMT2==4×(3.14)2×7.5×10-66.7×10-2×(0.67)2=0.01T

In Fig. the magnetic needle has magnetic moment 6.7×10–2Am2 and moment of inertia I = 7.5×10–6 kg m2. It performs 10 complete oscillations in 6.70 s. What is the magnitude of the magnetic field ?

T=6.7010=0.67 sB=4π2IMT2==4×(3.14)2×7.5×10-66.7×10-2×(0.67)2=0.01T

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In Fig. the magnetic needle has magnetic moment 6.7×10^–2Am² and moment of inertia I = 7.5×10^–6 kg m². It performs 10 complete oscillations in 6.70 s. What is the magnitude of the magnetic field ?

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0.05T

0.01T

0.08 T

0.2 T

answer is D.

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Detailed Solution

$T = \frac{6.70}{10} = 0.67 s$

$B = \frac{4 π^{2} I}{M T^{2}} = = \frac{4 \times (3.14)^{2} \times 7.5 \times 10^{- 6}}{6.7 \times 10^{- 2} \times {(0.67)}^{2}} = 0.01 T$

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In Fig. the magnetic needle has magnetic moment 6.7×10–2Am2 and moment of inertia I = 7.5×10–6 kg m2. It performs 10 complete oscillations in 6.70 s. What is the magnitude of the magnetic field ?

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In Fig. the magnetic needle has magnetic moment 6.7×10^–2Am² and moment of inertia I = 7.5×10^–6 kg m². It performs 10 complete oscillations in 6.70 s. What is the magnitude of the magnetic field ?