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Mechanical Properties of Solids

Stress and strain

One end of a horizontal thick copper wire of length 2 L and ra

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One end of a horizontal thick copper wire of length $2 L$ and radius $2 R$ is welded to an end of another horizontal thin copper wire of length $L$ and radius $R$ . When the arrangement is stretched by applying forces at two ends, the ratio of the elongation in the thin wire to that in the thick wire is

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Views: 5,943 students

Updated on: Mar 22, 2023

Book:

Mechanics Volume 2 (DC Pandey)

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Amelia Discussed

One end of a horizontal thick copper wire of length

2 L

and radius

2 R

is welded to an end of another horizontal thin copper wire of length

L

and radius

R

. When the arrangement is stretched by applying forces at two ends, the ratio of the elongation in the thin wire to that in the thick wire is

13 mins ago

Discuss this question LIVE

13 mins ago

Text solutionVerified

Δ l = \frac{F L}{A Y} = \frac{F L}{( π r ^{2} ) Y}

∴ Δ l \propto \frac{Δ}{r ^{2}}

∴ \frac{Δ l _{1}}{Δ l _{2}} = \frac{L / R ^{2}}{2 L / ( 2 R ) ^{2}} = 2

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Question Text	One end of a horizontal thick copper wire of length $2 L$ and radius $2 R$ is welded to an end of another horizontal thin copper wire of length $L$ and radius $R$ . When the arrangement is stretched by applying forces at two ends, the ratio of the elongation in the thin wire to that in the thick wire is
Updated On	Mar 22, 2023
Topic	Mechanical Properties of Solids
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 9
Upvotes	883
Avg. Video Duration	11 min

Text solutionVerified

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One end of a horizontal thick copper wire of length 2L and radius 2R is welded to an end of another horizontal thin copper wire of length L and radius R. When the arrangement is stretched by applying forces at two ends, the ratio of the elongation in the thin wire to that in the thick wire is

Text solutionVerified

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