Suppose a long solenoid of 100 cm length, radius  2 cm having 500 turns per unit length, carries a current I = 10 sin (ωt) A, where ω = 1000 rad/s. A circular conducting loop (B) of radius 1 cm coaxially slided through the solenoid at a speed v = 1 cm/s. The r.m.s. current through the loop when the coil B is inserted 10 cm inside the solenoid is α/ μA. The value of α is _________.
[Resistance of the loop = 10 Ω]