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

The spring balance does not read properly after its long use,because

Write copper,steel,glass,and rubber in the order of increasing coefficient of elasticity.

Select the correct alternative$(s)$.

The lower surface of a cube is fixed. On its upper surface,a force is applied at an angle of $30^{\circ}$ from its surface. The change will be of the type:

Vedclass Test Series

Exam Paper Generator

Online Exam Module