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← JEE Main 2022 · 27 Jun · Shift 2
PhysicsInteger+4 / -1Question 59 of 90

JEE Main 2022 · 27 Jun · Shift 2, Physics question 59

A metallic rod of length 20 cm is placed in North-South direction and is moved at a constant speed of 20 m/s towards East. The horizontal component of the Earth's magnetic field at that place is 4×10−34\times10^{-3} T and the angle of dip is 45°. The emf induced in the rod is ______ mV.

Answer and worked solution

Official answer: 16

Vertical field (dip 45°): BV=BHtan⁡45°=4×10−3B_V=B_H\tan45°=4\times10^{-3} T, which the eastward-moving N-S rod cuts.

emf. BVvl=4×10−3×20×0.2=16B_Vvl=4\times10^{-3}\times20\times0.2=16 mV.

Answer: 16