Q112 / 150 · MHT CET 2024 (11 May Shift 1) · Physics

A boat is moving due east in a region where the earth's magnetic field is $3.6 \times 10^{-5} \mathrm{~N} / \mathrm{Am}$ due north and horizontal. The boat carries a vertical conducting rod 2 m long. If the speed of the boat is $2.00 \mathrm{~m} / \mathrm{s}$, the magnitude of the induced e.m.f. in the rod is

  • A
    1.4 mV
  • B
    $\quad 0.54 \mathrm{mV}$
  • C
    0.72 mV
  • Correct answer
    D
    0.144 mV

Solution

$\begin{aligned} \mathrm{e} & =\mathrm{B} \times \mathrm{v} \times l \\ & =3.6 \times 10^{-5} \times 2 \times 2 \\ & =14.4 \times 10^{-5} \\ & =0.144 \mathrm{mV}\end{aligned}$

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

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