A uniform magnetic field is restricted within a region of radius \(r.\) The magnetic field changes with time at a rate \(\frac{{d\vec B}}{{dt}}\). Loop \(1\) of radius \(R > r\) encloses the region rand loop \(2\) of radius \(R\) is outside the region of magnetic field as shown in the figure. Then the \(e.m.f.\) generated is 

1. A \(-\frac{{d\vec B}}{{dt}}\pi {R^2}\) in loop \(1\) and zero in in loop \(2\)
2. B \( -\)\(\frac{{d\vec B}}{{dt}}\pi {r^2}\) in loop \(1\) and \(0\) in loop \(2\)
3. C zero in loop \(1\) and zero in loop \(2\)
4. D  \(-\)\(\frac{{d\vec B}}{{dt}}\pi {r^2}\) in loop \(1\) and \(-\)\(\frac{{d\vec B}}{{dt}}\pi {r^2}\) in loop \(2\)