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← JEE Main 2026 · 4 Apr · Shift 2
PhysicsSingle correct+4 / -1Question 39 of 75

JEE Main 2026 · 4 Apr · Shift 2, Physics question 39

A solenoid has a core made of material with relative permeability 400. The magnetic field produced in the interior of solenoid is 1.0 T. The magnetic intensity in SI units is α×105\alpha\times10^5. The value of α\alpha is ________.
(Free space permeability μ0=4π×10−7\mu_0=4\pi\times10^{-7} SI units.)

Choose one option
Answer and worked solution

Official answer: B

Magnetic intensity.
H=Bμ0μr=14π×10−7×400=10516π A/m,H=\frac B{\mu_0\mu_r}=\frac1{4\pi\times10^{-7}\times400}=\frac{10^5}{16\pi}\text{ A/m},
so α=116π\alpha=\dfrac1{16\pi}.

(B)