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# Figure shows a metal rod PQ resting on the smooth rail AB and positioned between the poles of a permanent magnet. The rail, the rod and the magnetic field are in three mutual perpendicular directions. A galvanometer G connects the rails through a switch K. Length of the rod = 15 cm, B = 0.50 T, resistance of the closed loop containing the rod = $9.0 m \Omega$. Assume the field to be uniform. Suppose K is open and the rod is moved with a speed of 12cm/s in the direction shown. Give the polarity and magnitude of the induced $emf$.

$(a) \;magnitude = 9 \times 10^{-3}V; \; P = +ve \; and \; Q =-ve$
$(b) \;magnitude = 9 \times 10^{-3}V; \; P = -ve \; and \; Q =+ve$
$(c) \;magnitude = 0.9 \times 10^{-3}V; \; P = +ve \; and \; Q =-ve$
$(d) \;magnitude = 0.9 \times 10^{-3}V; \; P = -ve \; and \; Q =+ve$