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JEE Main 20202 SeptemberEvening Shift
Exam
JEE Main
Year
2020
Date
2 September
Shift
Evening Shift
Subject
Physics
Chapter
Mechanical Properties of Solids

JEE Main 2020 · 2 September · Evening Shift · Physics · Mechanical Properties of Solids

A wire of density 9 × 10 ^ – 3 kg cm ^ – 3 is stretched between two...

A wire of density 9×10–3kgcm–39 \times {10}^{– 3}kg{cm}^{– 3} is stretched between two clamps 1m1m apart. The resulting strain in the wire is 4.9×10–44 . 9 \times {10}^{– 4}. The lowest frequency of the transverse vibrations in the wire (Young's modulus of wire Y=9×1010Nm–2Y = 9 \times {10}^{10}{Nm}^{– 2} ), (to the nearest integer),_______

Correct answer

0

Step-by-step solution

Fundamental frequency in the string

f=12ℓTμ=12ℓTρA=12ℓYΔℓρℓf = \dfrac{1}{2ℓ}\sqrt{\dfrac{T}{\mu}} = \dfrac{1}{2ℓ}\sqrt{\dfrac{T}{ρA}} = \dfrac{1}{2ℓ}\dfrac{\sqrt{Y \Delta ℓ}}{ρℓ}
f=12ℓYΔℓρℓf = \dfrac{1}{2ℓ}\sqrt{\dfrac{Y \Delta ℓ}{ρℓ}}
=129×1010×4.9×10−49×10−3×10−6=35= \dfrac{1}{2}\sqrt{\dfrac{9 \times {10}^{10} \times 4 . 9 \times {10}^{- 4}}{9 \times {10}^{- 3} \times {10}^{- 6}}} = 35

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