MHT CET202124 Sep 2021Morning ShiftPhysicsElectromagnetic InductionActual
The self-inductance of solenoid of length 31.4 ~cm , area of cross section 10⁻³ ~m ^2 having total number of turns 500 will be nearly [ ₀=4 10⁻⁷ . SI unit ]
Options
- A3 10⁻³ H
- B1 10⁻³ H
- C2 10⁻³ H
- D4 10⁻³ H
Correct answer
B. 1 10⁻³ H
Step-by-step solution
aligned & =31.4 ~cm =0.314 ~m & ~A =10⁻³ ~m ^2, ~N =500 aligned Self-inductance, L= ₀ n^2 A aligned & = ₀ ~N ^2 ~A , where n = N & = 4 10⁻⁷ (500)^2 10⁻³ 0.314 & = 4 3.14 25 10⁻⁶ 0.314 & =10⁻³ H aligned