MHT CET · Physics · Electromagnetic Induction
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
- D 0.144 mV
Answer & Solution
Correct Answer
(D) 0.144 mV
Step-by-step Solution
Detailed explanation
\(\begin{aligned} \mathrm{e} & =\mathrm{B} \times \mathrm{v} \times l \\ & =3.6 \times 10^{-5} \times 2 \times 2 \\ & =14.4 \times 10^{-5} \\ & =0.144 \mathrm{mV}\end{aligned}\)
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