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JEE Main 20241 FebruaryMorning Shift
Exam
JEE Main
Year
2024
Date
1 February
Shift
Morning Shift
Subject
Physics
Chapter
Mechanical Properties of Fluids

JEE Main 2024 · 1 February · Morning Shift · Physics · Mechanical Properties of Fluids

A plane is in level flight at constant speed and each of its two...

A plane is in level flight at constant speed and each of its two wings has an area of 40m2.40{m}^{2} . If the speed of the air is 180kmh−1180km{h}^{- 1} over the lower wing surface and 252kmh−1252km{h}^{- 1} over the upper wing surface, the mass of the plane is ________kg.kg . (Take air density to be 1kgm–31kg{m}^{– 3} and g=10ms–2g = 10m{s}^{– 2})

Correct answer

0

Step-by-step solution

Total wing span area, A=2×40=80m2A = 2 \times 40 = 80{m}^{2}

Using Bernoulli's equation, we get uplift force as

A(P2−P1)=12ρ(V12−V22)AA\left({P}_{2} - {P}_{1}\right) = \dfrac{1}{2}ρ\left({V}_{1}^{2} - {V}_{2}^{2}\right)A

⇒mg=12×1(702−502)×80⇒ mg = \dfrac{1}{2} \times 1\left({70}^{2} - {50}^{2}\right) \times 80

⇒mg=2400×40⇒ mg = 2400 \times 40

⇒m=9600kg⇒ m = 9600kg

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