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A wire of radius 0.2 mm is extended by 0.5% of its length when supported...

Physics
JAMB 2023

A wire of radius 0.2 mm is extended by 0.5% of its length when supported by a load of 1.5 kg. Determine the Young's modulus for the material of the wire.
[Take g = 10 ms\(^{-2}\)]

  • A. \(2.4×10^{10}(Nm^{-2})\)
  • B. \(1.5×10^{10}(Nm^{-2})\)
  • C. \(2.4×10^9(Nm^{-2})\)
  • D. \(1.3×10^{10}(Nm^{-2})\)
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Correct Answer: Option A
Explanation

r=0.2mm = \(2 × {10^{-4}}\) e= 0.05% of L,=0.005L, m=1.5kgg=\(10 ms^{-2}\) ,  y=?,    

(1000 mm = 1m)

Y = \(\frac{FL}{Ae}\)

w = mg = 1.5 × 10 = 15

A = \(\pi r^2\) = \(\frac{22}{7}×(2×10^{-4})^2\) = \(1.26×10^{-7}(m^2)\)

⇒ Y = \(\frac{15L}{1.26×10^{-7}×0.005L}\)

⇒ Y = \(\frac{15}{1.26×10^{-7}×0.005}\)

⇒ Y = \(\frac{15}{6.29×10^{-10}}\)

Y = \(2.4×10^{10}(Nm^{-2})\)


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WAEC offline past questions - with all answers and explanations in one app - Download for free
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WAEC Past Questions, Objective & Theory, Study 100% offline, Download app now - 127076
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