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Q.

In a circular region of radius R,  magnetic field is uniform and changes according to B=kt  where k  is a constant and  t is the time.  A conducting wire is bent to form a right angled triangular loop and kept perpendicular to the magnetic field with one corner at the centre O of the circle.  Match the magnitudes of emf generated between  different points.  Take  OD=OC=3R and  ε=KπR2/4. Neglect self- inductance of the loop.

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COLUMN-I

 

COLUMN-II

P)Emf between A and  E1)0
Q)Emf between  A and D2)ε
R)Emf between C and A3)2επ
S)Emf between  C and D4)ε(13+3π)

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a

P-2; Q-2; R-1; S-2

b

P-3; Q-2; R-1; S-2

c

P-3; Q-4; R-1; S-2

d

P-2; Q-4; R-1; S-2

answer is B.

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Detailed Solution

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εDC=πR2K4=ε,   εAC=0,  εAE=R22K=2επ           εCD=(πR212+3R24)k=ε(13+3π)

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