Q. A boat is moving due east in a region where the earth’s magnetic field is $5.0 \times 10^{- 5}\ {NA}^{- 1}m^{- 1}$ due north and horizontal. The boat carries a vertical aerial 2 m long. If the speed of the boat is 1.50${ms}^{- 1}$, the magnitude of the induced emf in the wire of aerial is
A) 0.75 mV
B) 0.50 mV
C) 0.15 mV
D) 1 mV
Explanation
(c) Induced emf
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ e = B_{H}lv$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = 5.0 \times 10^{- 5} \times 2 \times 1.50$
$\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ = 0.15 \times 10^{- 3}V = 0.15\ mV$
Reviewed by Dr. Abubacker
Physics Educator & NEET/JEE Specialist
Ph.D. in Physics with 19+ years of teaching experience.