MHT CET · Physics · Magnetic Properties of Matter
The magnetic susceptibility of a material of a rod is 349 and permeability of vacuum \(\mu_0\) is \(4 \pi \times 10^{-7} \mathrm{SI}\) units. Absolute permeability of the material of the rod in SI units
- A \(4200 \times 10^{-7}\)
- B \(4600 \times 10^{-7}\)
- C \(4400 \times 10^{-7}\)
- D \(4800 \times 10^{-7}\)
Answer & Solution
Correct Answer
(C) \(4400 \times 10^{-7}\)
Step-by-step Solution
Detailed explanation
Given: \(\mu_0=4 \pi \times 10^{-7} \mathrm{Hm}^{-1}\)
Magnetic susceptibility of a material of rod: \(\chi_{\mathrm{m}}=349\)
\(\therefore\) absolute permeability of material of rod:
\(\mu=\mu_0\left(1+\chi_{\mathrm{m}}\right)\)
Or,
\(\mu=4 \pi \times 10^{-7}(1+349)=43982.3 \times 10^{-4} \mathrm{Hm}^{-1}\) \(\approx 4400 \times 10^{-7} \mathrm{Hm}^{-1}\)
Magnetic susceptibility of a material of rod: \(\chi_{\mathrm{m}}=349\)
\(\therefore\) absolute permeability of material of rod:
\(\mu=\mu_0\left(1+\chi_{\mathrm{m}}\right)\)
Or,
\(\mu=4 \pi \times 10^{-7}(1+349)=43982.3 \times 10^{-4} \mathrm{Hm}^{-1}\) \(\approx 4400 \times 10^{-7} \mathrm{Hm}^{-1}\)
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