An air craft of wing span $40 \mathrm{~m}$ files horizontally in earth's magnetic field $5 \times 10^{-5}…

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
  1. $0.5 \mathrm{~V}$
  2. $1 \mathrm{~V}$
  3. $1.2 \mathrm{~V}$
  4. $1.5 \mathrm{~V}$

Solution

The emf generated between the tips of the wings of the air craft is, $\begin{aligned} & \varepsilon=\mathrm{Blv} \\ & \varepsilon=5 \times 10^{-5} \times 40 \times 500 \\ & \varepsilon=1 \mathrm{~V} \end{aligned}$

Asked in: MHT CET 2023 (12 May Shift 2)

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