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Q.

In aircraft with wingspan of 40m flies with a speed of 1080 km/h in eastward direction at a constant altitude in the northern hemisphere, where the vertical component of the earth’s magnetic field 1.75×105T. The emf developed between the tips of the wings is

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a

2.1 V

b

0.34 V

c

0.5 V

d

0.21 V

answer is D.

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Detailed Solution

EMF Developed Between Aircraft Wing Tips

To calculate the emf developed between the tips of the wings, we use the formula for motional emf:

emf = B × v × L

Given:

  • B = Vertical component of Earth's magnetic field = 1.75 × 10-5 T
  • v = Velocity of the aircraft = 1080 km/h = 300 m/s
  • L = Wingspan = 40 m

Calculation:

Substituting the values into the formula:

emf = (1.75 × 10-5) × 300 × 40

Simplifying:

emf = 0.21 V

Final Answer:

The emf developed between the tips of the wings is 0.21 V.

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