Q71 / 90 · JEE Main 2016 (10 Apr Online) · Physics

A fighter plane of length 20 m, wing span (distance from tip of one wing to the tip of the other wing) of 15 m and height 5 m is flying towards east over Delhi. Its speed is 240 ms-1. The earth's magnetic field over Delhi is 5×10-5T with the declination angle ~0o and dip of θ such that sin⁡θ=23. If the voltage developed is VB between the lower and upper side of the plane and VW between the tips of the wings then VB and VW are close to :

  • A
    VB=40 mV;VW=135 mV  with left side of pilot at higher voltage
  • B
    VB=45 mV;VW=120 mV with right side of pilot at higher voltage
  • C
    VB=40 mV;VW=135 mV with right side of pilot at high voltage
  • Correct answer
    D
    VB=45 mV;VW=120 mV with left side of pilot at higher voltage

Solution

Figure

V B = B H 5 2 4 0

B H = B cos θ, ....

Bv=Bsinθ

B H = 5 5 × 1 0 - 5 3

B v = 1 0 3 × 1 0 - 5 T

V B = 5 5 3 × 1 0 - 5 × 5 × 2 4 0

V B = 44.6 mV = 4 5 mV

V w = B v ℓ V  = 10 3 × 10 −5 ×15×240

= 1 0 - 4 × 1 2 0 0

V w = 1 2 0 mV

(left side at fighter voltage)
Figure

Hence, the correct answer is option: 'D'.

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