Electromagnetic Induction Part 2

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

α

√2

µA. The value of α is ____。
[Resistance of the loop =10Ω ]