A metal ring is oriented with the plane of its area perpendicular to a spatially uniform magnetic field that increases at a steady rate. After the radius of the ring is doubled, while the rate of increase of the field is cut in half, the emf induced in the ring a. increases by a factor of 2. b. decreases by a factor of 2.c. remains the same. d. increases by a factor of 4.

The emf induced in the ring increases by a factor of 2.                      

Explanation:

The formula of induced emf is given by :

If the the radius of the ring is doubled, while the rate of increase of the field is cut in half.

New emf is given by :

So, the emf induced in the ring increases by a factor of 2.

answer; (d) spontaneous processes are characterized by the overall conversion of order to disorder;

it's when something is going so fast it makes a loud noise, breaking the sound barrier, for example: a jet makes a loud noise, not only cause of the jet but because they reached a point where they went so fast that you can year the noise from various parts, kinda like a police car, lets say the car was going   so fast that you hear the siren of the cop car right next to you, but the car is probably a mile a way, it's cos the siren was next to you a few seconds if you understand me