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Question: Answered & Verified by Expert
An air craft of wing span $40 \mathrm{~m}$ files horizontally in earth's magnetic field $5 \times 10^{-5} \mathrm{~T}$ at a speed of $500 \mathrm{~m} / \mathrm{s}$. The e.m.f. generated between the tips of the wings of the air craft is
PhysicsMagnetic Properties of MatterMHT CETMHT CET 2023 (12 May Shift 2)
Options:
  • A $0.5 \mathrm{~V}$
  • B $1 \mathrm{~V}$
  • C $1.2 \mathrm{~V}$
  • D $1.5 \mathrm{~V}$
Solution:
1662 Upvotes Verified Answer
The correct answer is: $1 \mathrm{~V}$
The emf generated between the tips of the wings of the air craft is,
$$
\begin{aligned}
& \varepsilon=\mathrm{Blv} \\
& \varepsilon=5 \times 10^{-5} \times 40 \times 500 \\
& \varepsilon=4 \mathrm{~V}
\end{aligned}
$$

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