One solenoid is centered inside another. The outer one has a length of 46.0 cm and contains 6700 coils, while the coaxial inner solenoid is 4.0 cm long and 0.150 cm in diameter and contains 24 coils. The current in the outer solenoid is changing at 34.5 A/s . What is the mutual inductance of these solenoids? Find the emf induced in the inner solenoid?