1SATEMENT 2 IS CORRECT REASON TOO :) SO A
STATEMENT--1 : The induced electric field in a time varying magnetic field is non-conservative.
because
STATEMENT--2: The indused emf across a closed path in a time varying magnetic field is non-zero.
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1REASON IS THAT The indused emf across a closed path in a time varying magnetic field is non-zero. AS GIVEN IN THE QUESTION ....................N BY THE WAY U CAN LOOK FOR DEFINITION OF NON-CONSERVATIVE QUANTITIES FOR THE SAME REASON FROM A DIFFERENT VIEWPOINT!