A boat is moving due east in a region where the earth's magnetic field is 3.6 10^ -5 N Am due north and horizontal. The boat is 2.00 m/s the magnitude of the induced e.m.f. in the rod is

MHT CET 2024 Physics question

A boat is moving due east in a region where the earth's magnetic field is due north and horizontal. The boat is 2.00 m/s the magnitude of the induced e.m.f. in the rod is

(A)1.4 mV
(B)0.72 mV
(C)0.54 mV
(D)0.144 mVCorrect

Answer: (D)

Solution

The boat moves east, the field is horizontal and points north, so the velocity, field and a vertical rod are mutually perpendicular and the motional emf is (with the length of the vertical rod/aerial, taken as 2 m as in the standard version of this problem; the printed stem omits it).

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Question ID VK-096766