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JEE PYQ: Electromagnetic Induction Question 5

Question 5 - 2021 (26 Feb Shift 2)

An aeroplane, with its wings spread 10 m, is flying at a speed of 180 km/h in a horizontal direction. The total intensity of earth’s field at that part is $2.5 \times 10^{-4}$ Wb/m$^2$ and the angle of dip is $60°$. The emf induced between the tips of the plane wings will be:

(1) 88.37 mV

(2) 62.50 mV

(3) 54.125 mV

(4) 108.25 mV

Show Answer

Answer: (4)

Solution

The vertical component $B_V = B\sin 60° = \frac{\sqrt{3}}{2}B$. The induced EMF $= B_V \times l \times v = \frac{\sqrt{3}}{2} \times 2.5 \times 10^{-4} \times 10 \times 50 = 108.25 \times 10^{-3}$ V $= 108.25$ mV.


Learning Progress: Step 5 of 25 in this series