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What is the percentage increase in length of a wire of diamete

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What is the percentage increase in length of a wire of diameter $2.5 mm$ , stretched by a force of $100 kg$ wt? Young's modulus of elasticity of wire $= 12.5 \times 1 0^{11}$ dyne/cm $^{2}$

0.16%

0.32%

0.08%

0.12%

Views: 5,883 students

Updated on: Oct 17, 2023

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James Discussed

What is the percentage increase in length of a wire of diameter

2.5 mm

, stretched by a force of

100 kg

wt? Young's modulus of elasticity of wire

= 12.5 \times 1 0^{11}

dyne/cm

^{2}

10 mins ago

Discuss this question LIVE

10 mins ago

Text solutionVerified

Diameter

d = 2.5 mm = 2.5 \times 1 0^{- 3} m

Force,

f = 100 kgwt = 100 \times 9.8 N = 980 N

Y = 12.5 \times 1 0^{11}

dyne

/ cm^{2} = 12.5 \times 1 0^{10} N / m^{2}

\frac{Δ L}{L} = \frac{F}{AY} = \frac{980}{12.5 \times 1 0 ^{10} \times π ( \frac{2.5 \times 1 0 ^{- 3}}{2} ) ^{2}} = 0.0016

\Rightarrow \frac{Δ1}{1} \times 100 = 0.16% \to

percentage increase in length

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Question Text	What is the percentage increase in length of a wire of diameter $2.5 mm$ , stretched by a force of $100 kg$ wt? Young's modulus of elasticity of wire $= 12.5 \times 1 0^{11}$ dyne/cm $^{2}$
Updated On	Oct 17, 2023
Topic	Mechanical Properties of Solids
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 22
Upvotes	1993
Avg. Video Duration	11 min

What is the percentage increase in length of a wire of diameter $2.5 mm$ , stretched by a force of $100 kg$ wt? Young's modulus of elasticity of wire $= 12.5 \times 1 0^{11}$ dyne/cm $^{2}$

Text solutionVerified

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What is the percentage increase in length of a wire of diameter 2.5 mm, stretched by a force of 100 kg wt? Young's modulus of elasticity of wire =12.5×1011 dyne/cm 2

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What is the percentage increase in length of a wire of diameter $2.5 mm$ , stretched by a force of $100 kg$ wt? Young's modulus of elasticity of wire $= 12.5 \times 1 0^{11}$ dyne/cm $^{2}$