Practice question
Question
A bar magnet produces a field of 2 × 10â»â¶ T at 0.5 m on its equatorial line. What is its magnetic moment? (Take μ_0 = 4Ï€ × 10â»â· T m A^{-1 ).
Explanation
Given:
A bar magnet produces a field of 2 × 10â»â¶ T at 0.5 m on its equatorial line. What is its magnetic moment? (Take μ_0 = 4Ï€ × 10â»â· T m A^{-1 ).
These values define the system as per NCERT data.
Formula:
B = μ_0/4π m/r³, so m = fracB r³μ_0/4π.
This is the standard NCERT relation for this phenomenon.
Substitution & Calculation:
Given: B = 2 × 10â»â¶ T, r = 0.5 m, μ_0/4Ï€ = 10â»â·. m = frac2 × 10â»â¶ × (0.5)³¹â°â»â·= frac2 × 10â»â¶ × 0.12510â»â·= 2.5 A m² .
Result:
The computed value matches the expected outcome and confirms the correct choice. Units and powers like J kgâ»Â¹ Kâ»Â¹, m/s², 10â»âµ are properly used as per NCERT.
Discussion
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