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JEE Main 202126 FebruaryEvening Shift
Exam
JEE Main
Year
2021
Date
26 February
Shift
Evening Shift
Subject
Physics
Chapter
Magnetic Properties of Matter

JEE Main 2021 · 26 February · Evening Shift · Physics · Magnetic Properties of Matter

An aeroplane, with its wings spread 10m, is flying at a speed of...

An aeroplane, with its wings spread 10m,10m, is flying at a speed of 180kmh−1180km{h}^{- 1} in a horizontal direction. The total intensity of earth's field at that part is 2.5×10−4Wbm−22 . 5 \times {10}^{- 4}Wb{m}^{- 2} and the angle of dip is 60°.60 ° . The emf induced between the tips of the plane wings will be

Options

  1. A108.25mV108 . 25mV
  2. B54.125mV54 . 125mV
  3. C88.37mV88 . 37mV
  4. D62.50mV62 . 50mV

Correct answer

A. 108.25mV108 . 25mV

Step-by-step solution

∈=[B→V→L→]=BVLsinθ\in = \left[\overset{\to}{B}\overset{\to}{V}\overset{\to}{L}\right] = BVLsin\theta

=(2.5×10−4T)(180×518ms−1)(10m)sin⁡60°= \left(2 . 5 \times {10}^{- 4}T\right)\left(180 \times \dfrac{5}{18}m{s}^{- 1}\right)\left(10m\right)\sin 60 °

=108.25×10−3V= 108 . 25 \times {10}^{- 3}V

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