CUET · PHYSICS · PYQ PAPER 2023
A boat is moving due east in a region where the Earth's magnetic field is \( 5.0 \times 10^{-5} \text{ NA}^{-1}\text{m}^{-1} \) due north and horizontal. The boat carries a vertical aerial 2 m long. If the speed of the boat is \( 10.5 \text{ m s}^{-1} \), find the induced e.m.f. in the aerial.
- A \(\begin{aligned} & 0.50 \mathrm{mV}\end{aligned}\)
- B \(\begin{aligned} & 0.15 \mathrm{mV}\end{aligned}\)
- C \(\begin{aligned} & 1.00 \mathrm{mV}\end{aligned}\)
- D \(\begin{aligned} & 0.75 \mathrm{mV}\end{aligned}\)
Answer & Solution
Correct Answer
(C) \(\begin{aligned} & 1.00 \mathrm{mV}\end{aligned}\)
Step-by-step Solution
Detailed explanation
\( \varepsilon = Blv \) \( \varepsilon = (5.0 \times 10^{-5} \text{ T})(2 \text{ m})(10.5 \text{ m s}^{-1}) \) \( \varepsilon = 1.05 \times 10^{-3} \text{ V} \) \( \varepsilon = 1.05 \text{ mV} \)
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