CUET · PHYSICS · PYQ PAPER 2023
A rod of 20 cm lying along the horizontal East-West direction falls freely from the roof of a building of height 3 m. If the horizontal component of the Earth's magnetic field is 0.36 G over the region, find the magnitude of Induced emf when it reaches the bottom of the building (take \( g = 10 \text{ m/s}^2 \) at that place)
- A \( 0.85 \times 10^{-4} \text{ V} \)
- B \( 0.56 \times 10^{-4} \text{ V} \)
- C \( 0.43 \times 10^{-4} \text{ V} \)
- D \( 0.23 \times 10^{-4} \text{ V} \)
Answer & Solution
Correct Answer
(B) \( 0.56 \times 10^{-4} \text{ V} \)
Step-by-step Solution
Detailed explanation
\( v = \sqrt{2gh} \) \( v = \sqrt{2 \times 10 \times 3} = \sqrt{60} \approx 7.75 \text{ m/s} \) \( \mathcal{E} = BLv \) \( \mathcal{E} = (0.36 \times 10^{-4} \text{ T}) \times (0.2 \text{ m}) \times (7.75 \text{ m/s}) \) \( \mathcal{E} \approx 0.558 \times 10^{-4} \text{ V} \)
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