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Emf across a rod or aeroplane wings moving in the earth's field (using the angle of dip)

This type of question, asked 2 times: 2021 Paper 26, 27 Jun 2022. All 2 questions below, oldest first.

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  1. Question 1

    2021 Paper 26

    17
    An aeroplane, with its wings spread 10 m10\text{ }m, is flying at a speed of 180 km/h180\text{ }km/h in a horizontal direction. The total intensity of earth's field at that part is 2.5×10−4 Wb/m22.5 \times10^{- 4}\text{ }Wb/m^{2} and the angle of dip is 60∘60^{\circ}. The emf induced between the tips of the plane wings will be

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  2. Question 2

    27 Jun 2022

    119
    A metallic rod of length 20 cm20\text{ }cm is placed in the North-South direction and is moved at a constant speed of 20 m/s20\text{ }m/s towards East. The horizontal component of the Earth's magnetic field at that place is 4×10−3 T4 \times10^{- 3}\text{ }T and the angle of dip is 45∘45^{\circ}. The emf induced in the rod is ____\_\_\_\_ mV.