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

A.Zero in loop 1 and zero in loop 2

\( - \frac { \mathrm { dB } } { \mathrm { dt } } \left( \pi \mathrm { r } ^ { 2 } \right) \) in loop 1 and- \( \mathrm { dB } \mathrm { dt } \left( \pi \mathrm { r } ^ { 2 } \right) \) in loop 2

\( - \frac { \mathrm { dB } } { \mathrm { dt } } \left( \pi \mathrm { R } ^ { 2 } \right) \) in loop 1 and zero in loop 2

\( - \frac { \mathrm { dB } } { \mathrm { dt } } \left( \pi \mathrm { r } ^ { 2 } \right) \) in loop 1 and zero in loop 2

C. \( - \frac { \mathrm { dB } } { \mathrm { dt } } \left( \pi \mathrm { R } ^ { 2 } \right) \) in loop 1 and zero in loop 2

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