Q69 / 90 · JEE Main 2011 · Physics

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 :

  • A
    $0.75 \mathrm{mV}$
  • B
    $0.50 \mathrm{mV}$
  • Correct answer
    C
    $0.15 \mathrm{mV}$
  • D
    $1 \mathrm{mV}$

Solution

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

Hence, the correct answer is option: 'C'.

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