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JEE Main 201610 AprilOnline
Exam
JEE Main
Year
2016
Date
10 April
Mode
Online
Subject
Physics
Chapter
Magnetic Properties of Matter

JEE Main 2016 · 10 April · Online · Physics · Magnetic Properties of Matter

A fighter plane of length 20 m, wing span (distance from tip of one...

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 240ms−1.240m{s}^{- 1} . The earth's magnetic field over Delhi is 5×10−5T5 \times {10}^{- 5}T with the declination angle  0o~ {0}^{o} and dip of θ\theta such that sinθ=23.sin \theta = \dfrac{2}{3} .If the voltage developed is VB{V}_{B} between the lower and upper side of the plane and VW{V}_{W} between the tips of the wings then VBandVW{V}_{B}and{V}_{W} are close to :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 andA 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

Options

  1. AVB=40mV;VW=135mV{V}_{B} = 40mV; {V}_{W} = 135mV with left side of pilot at higher voltage
  2. BVB=45mV;VW=120mV{V}_{B} = 45mV; {V}_{W} = 120mV with right side of pilot at higher voltage
  3. CVB=40mV;VW=135mV{V}_{B} = 40mV; {V}_{W} = 135mV with right side of pilot at high voltage
  4. DVB=45mV;VW=120mV{V}_{B} = 45mV; {V}_{W} = 120mV with left side of pilot at higher voltage

Correct answer

D. VB=45mV;VW=120mV{V}_{B} = 45mV; {V}_{W} = 120mV with left side of pilot at higher voltage

Step-by-step solution

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

VB=BH(5)(240){\text{V}}_{\text{B}} = {\text{B}}_{H} \left(5\right) \left(2 4 0\right)

BH=B cosθ,....{\text{B}}_{\text{H}} = \text{B cos} \theta , ....

Bv=Bsinθ{B}_{v} = Bsin\theta

BH=55×10−53{\text{B}}_{\text{H}} = \dfrac{5 \sqrt{5} \times 1 {0}^{- 5}}{3}

Bv=103×10−5T{\text{B}}_{\text{v}} = \dfrac{1 0}{3} \times 1 {0}^{- 5} \text{T}

VB=553×10−5×5×240{\text{V}}_{\text{B}} = \dfrac{5 \sqrt{5}}{3} \times 1 {0}^{- 5} \times 5 \times 2 4 0

VB=44.6mV=45mV{\text{V}}_{\text{B}} = \text{44.6} mV = 4 5 \text{mV}

Vw=BvℓV{\text{V}}_{\text{w}} = {\text{B}}_{\text{v}} ℓ \text{V}=103×10−5×15×240= \dfrac{10}{3} \times {10}^{- 5} \times 15 \times 240

=10−4×1200= 1 {0}^{- 4} \times 1 2 0 0

Vw=120mV{\text{V}}_{\text{w}} = 1 2 0 mV

(left side at fighter voltage)
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

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