JEE Mains · Physics · STD 12 - 5. Magnetism and matter
The percentage increase in magnetic field (B) when space within a current carrying solenoid is filled with magnesium (magnetic susceptibility \(\left.\chi_{\mathrm{mg}}=1.2 \times 10^{-5}\right)\) is :
- A \(\frac{6}{5} \times 10^{-3} \%\)
- B \(\frac{5}{6} \times 10^{-5} \%\)
- C \(\frac{5}{6} \times 10^{-4} \%\)
- D \(\frac{5}{3} \times 10^{-5} \%\)
Answer & Solution
Correct Answer
(A) \(\frac{6}{5} \times 10^{-3} \%\)
Step-by-step Solution
Detailed explanation
\begin{aligned} & \% \text { change in } B=\frac{B_{\text {new }}-B_{\text {old }}}{B_{\text {old }}} \times 100 \% \\ & =\frac{\mu \mathrm{ni}-\mu_0 \mathrm{ni}}{\mu_0 \mathrm{ni}} \times 100 \%=\frac{\left(\mu-\mu_0\right)}{\mu_0} \times 100 \% \\ & =\frac{\left(\mu_0…
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