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Mechanical Properties of Solids

Young's Modulus

A wire elongates by l {~mm} when a load w is hanged from it. I

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Solving time: 3 mins

A wire elongates by $l mm$ when a load $w$ is hanged from it. If the wire goes over a pulley and two weights $w$ each are hung at the two ends, the elongation of the wire will be (in $mm)$
(a) $l$
(b) $2 l$
(c) zero
(d) $\frac{l}{2}$

Views: 5,426 students

Updated on: Dec 9, 2023

Book:

Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Exam:

JEE Mains 2006

Found 5 tutors discussing this question

Luna Discussed

A wire elongates by

l mm

when a load

w

is hanged from it. If the wire goes over a pulley and two weights

w

each are hung at the two ends, the elongation of the wire will be (in

mm)

(a)

l

(b)

2 l

\frac{l}{2}

10 mins ago

Discuss this question LIVE

10 mins ago

Text solutionVerified

Exp. (a)
Let us consider the length of wire as

L

and cross-sectional area

A

, the material of wire has Young's modulus as

Y

Then, for 1 st case,

Y = \frac{W / A}{l / L}

For 2nd case,

Y = \frac{W / A}{2 l ^{'} / L} \Rightarrow l^{'} = \frac{l}{2}

So, total elongation of both sides

= 2 l^{'} = l

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Question Text	A wire elongates by $l mm$ when a load $w$ is hanged from it. If the wire goes over a pulley and two weights $w$ each are hung at the two ends, the elongation of the wire will be (in $mm)$ (a) $l$ (b) $2 l$ (c) zero (d) $\frac{l}{2}$
Updated On	Dec 9, 2023
Topic	Mechanical Properties of Solids
Subject	Physics
Class	Class 11
Answer Type	Text solution:1 Video solution: 15
Upvotes	1357
Avg. Video Duration	6 min

A wire elongates by $l mm$ when a load $w$ is hanged from it. If the wire goes over a pulley and two weights $w$ each are hung at the two ends, the elongation of the wire will be (in $mm)$
(a) $l$
(b) $2 l$
(c) zero
(d) $\frac{l}{2}$

Text solutionVerified

Filo tutor solutions (15)

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A wire elongates by l mm when a load w is hanged from it. If the wire goes over a pulley and two weights w each are hung at the two ends, the elongation of the wire will be (in mm)(a) l(b) 2l(c) zero(d) 2l​

Text solutionVerified

Filo tutor solutions (15)

Questions from JEE Mains 2006 - PYQs

Practice questions from Arihant Physics JEE Main Chapterwise Solutions (2019-2002) (Arihant)

Practice questions from Mechanical Properties of Solids in the same exam

Practice more questions from Mechanical Properties of Solids

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Previous year question papers

A wire elongates by $l mm$ when a load $w$ is hanged from it. If the wire goes over a pulley and two weights $w$ each are hung at the two ends, the elongation of the wire will be (in $mm)$
(a) $l$
(b) $2 l$
(c) zero
(d) $\frac{l}{2}$