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Q.

A conducting loop is held in a magnetic field such that the field is oriented perpendicular to the area of the loop as shown in Fig-a. At any instant, magnetic flux density over the entire area has the same value but it varies with time as shown in fig-b.

Question Image

 

 

                                                Column I

Column II

AInduced current in the coil is in the clockwise sensePFor t2<t<t3
BInduced current in the coil in the anticlockwise senseQFor t3<t<t4
CInduced current is zeroRFor t5<t<t6
DInduced current is maximumSFor t4<t<t5

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a

As,Bp,Cr,Dq

b

Ar,Bpq,Cs,Dr

c

Aq,Bqs,Cr,Dp

d

Aq,Bs,Cq,Dr

answer is B.

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Detailed Solution

Question Image

A-R; for induced current to be in cw direction, the field should increase in the direction of A¯ or should decrease in the opposite direction of A¯ i.e., 0<t<t1 and t5<t<t6

B-P,Q; For induced current to be in ACW direction, the field should decrease in the direction of A¯ or increase in opposite direction of A¯  i.e.,  t2<t<t3;t3<t<t4

C-S; For induced current to be zero, the field should remain constant i.e.,  t1<t<t1<t<t2&t4<t<t5

D-R; for induced current to be maximum, the flux change should +vemaximum i.e., in this case rate change of field should be maximum. In the region where (slope) of B-t graph is maximum, the current is maximum. They are 0<t1&t5<t<t6

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