Physics · Electromagnetic Induction

Suppose a long solenoid of 100 cm length and 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 is coaxially slid inside the solenoid at a constant speed v = 1 cm/s. The r.m.s. current through the loop when coil B is inserted 10 cm inside the solenoid is α/√2 μA. The value of α is _________. [Take resistance of the loop = 10 Ω]