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A conducting circular coil is placed in uniform magnetic field with the magnetic field initially directed perpendicular to the plane of the coil. In step A, the coil is rotated from its initial position by $60^{\circ}$ about its diameters in time ' $t$ '. In step B, the coil is further rotated about the same axis in the same sense by another $120^{\circ}$ in time ' $2 \mathrm{t}$ '. Ratio of emf induced in the coil in step A to that in step B is
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$2: 3$
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