A wire of length l and cross-sectional area A | vedclass

Name: Exam Paper Generator | JEE NEET Paper Generator | Vedclass
Brand: Vedclass
Rating: 5 (35 reviews)

Question

(C) The volume of the wire remains constant during stretching. Let the initial length be $l$ and initial area be $A$. The initial volume is $V = A \cd

Vedclass · Accepted Answer

$2Mg/A$

Vedclass · Answer

(C) The volume of the wire remains constant during stretching. Let the initial length be $l$ and initial area be $A$. The initial volume is $V = A \cdot l$.When the length becomes double $(l' = 2l)$,the new area $A'$ must satisfy $A' \cdot l' = A \cdot l$.Substituting $l' = 2l$,we get $A' \cdot (2l) = A \cdot l$,which implies $A' = A/2$.Stress is defined as the force applied per unit area: $	ext{Stress} = \frac{F}{A'}$.Substituting the values $F = Mg$ and $A' = A/2$,we get $	ext{Stress} = \frac{Mg}{A/2} = \frac{2Mg}{A}$.

$A$ wire of length $l$ and cross-sectional area $A$ is stretched by a weight $Mg$ such that its length becomes double. What is the stress in the wire?

Similar Questions

Is it possible to double the length of a metallic wire by applying force over it?

Hooke's law is applicable for ....

When is the force between atoms attractive? When is it repulsive?

$A$ wire can sustain a weight of $15 \, kg$. If it is cut into four equal parts,then each part can sustain a weight of ........ $kg$.

If a solid breaks under a pressure greater than $13 \ atm$ and that solid has a specific gravity of $4$,what is the maximum height of a cylinder made from the solid that can be built at the Earth's surface (in $m$)? (Note: $1 \ atm = 10^5 \ Pa$ and take $g = 10 \ m/s^2$.)

Vedclass Test Series

Exam Paper Generator

Online Exam Module