JEE Mains · Physics · STD 12 - 5. Magnetism and matter
A \(25\,cm\) long solenoid has radius \(2\,cm\) and \(500\) total number of turns. It carries a current of \(15\,A.\) If it is equivalent to a magnet of the same size and magnetization \(\vec M\) ( magnetic moment/ volume), then \(\left| {\vec M} \right|\) is
- A \(30000\pi \,A{m^{ - 1}}\)
- B \(3\pi \,A{m^{ - 1}}\)
- C \(30000 \,A{m^{ - 1}}\)
- D \(300 \,A{m^{ - 1}}\)
Answer & Solution
Correct Answer
(C) \(30000 \,A{m^{ - 1}}\)
Step-by-step Solution
Detailed explanation
\(\bar{M}\) (mag. moment/volume) \(=\frac{N i A}{A \ell}\) \(=\frac{N i}{\ell}=\frac{(500) 15}{25 \times 10^{-2}}=30000\, \mathrm{Am}^{-1}\)
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