A uniform magnetic field is restricted within a region of radius r. The magnetic field changes with time at a rate `(dB)/(dt)`. Loop 1 of radius R `gt` r encloses the region r and loop 2 of radius R is outside the region of magnetic field as shown in figure. Then, the emf generated is

Zero in loop 1 and zero in loop 2
− d B d t π r 2 in loop 1 and − d B d t π 2 in loop 2
− d B d t π R 2 in loop 1 and zero in loop 2
− d B d t π r 2 in loop 1 and zero in loop 2

Options

A. Zero in loop 1 and zero in loop 2
B. `-(dvecB)/(dt)pi r^(2)` in loop 1 and `-(dvecB)/(dt)pi r^(2)` in loop 2
C. `-(dvecB)/(dt)pi R^(2)` in loop 1 and zero in loop 2
D. `-(dvecB)/(dt)pi r^(2)` in loop 1 and zero in loop 2