A boat is moving due east in a region where the earth's magnetic field is $5.0 \times 10^{-5}…

A boat is moving due east in a region where the earth's magnetic field is $5.0 \times 10^{-5} \mathrm{NA}^{-1} \mathrm{~m}^{-1}$ due north and horizontal. The boat carries a vertical aerial $2 \mathrm{~m}$ long. If the speed of the boat is $1.50 \mathrm{~ms}^{-1}$, the magnitude of the induced emf in the wire of aerial is :
  1. $0.75 \mathrm{mV}$
  2. $0.50 \mathrm{mV}$
  3. $0.15 \mathrm{mV}$
  4. $1 \mathrm{mV}$

Solution

$\mathrm{E}=\mathrm{B}_{\mathrm{H}} \mathrm{VV}=0.15 \mathrm{mV}$

Asked in: JEE Main 2011

Practice more Electromagnetic Induction questions on Aicharya