The force required to stretch a wire of crosssection $1 cm ^{2}$ to double its length will be ........ $ \times 10^{7}\,N$
(Given Yong's modulus of the wire $=2 \times 10^{11}\,N / m ^{2}$ )
JEE MAIN 2022, Easy
Download our app for free and get started
$F =Y A \frac{\Delta l}{l}$
$=2 \times 10^{11} \times 10^{-4}\left(\frac{2 l-l}{l}\right)$
$=2 \times 10^{7}\,N$
Download our appand get started for free
Experience the future of education. Simply download our apps or reach out to us for more information. Let's shape the future of learning together!No signup needed.*
Similar Questions
- 1Consider the situation shown in figure. The force $F$ is equal to the $m_2g/2.$ If the area of cross-section of the string is $A$ and its Young's modulus $Y$, find the strain developed in it. The string is light and there is no friction anywhereView Solution
- 2Given below are two statements: One is labelled as Assertion $(A)$ and the other is labelled as Reason $(R)$.View Solution
Assertion $(A)$:The stretching of a spring is determined by the shear modulus of the material of the spring.
Reason $(R)$:A coil spring of copper has more tensile strength than a steel spring of same dimensions.
In the light of the above statements, choose the most appropriate answer from the options given below:
- 3A wire of length $L$ and radius $r$ is clamped rigidly at one end. When the other end of the wire is pulled by a force $F$, its length increases by $5\,cm$. Another wire of the same material of length $4 L$ and radius $4\,r$ is pulled by a force $4\,F$ under same conditions. The increase in length of this wire is $....cm$.View Solution
- 4When load of $5\,kg$ is hung on a wire then extension of $3\,m$ takes place, then work done will be ....... $joule$View Solution
- 5A wire of length $L$ and cross-sectional area $A$ is made of a material of Young's modulus $Y.$ It is stretched by an amount $x$. The work done isView Solution
- 6A metallic rod of length $I$ and cross-sectional area $A$ is made of a material of Young's modulus $Y$. If the rod is elongated by an amount $y$, then the work done is proportional to ......View Solution
- 7View SolutionIn the given figure, if the dimensions of the two wires are same but materials are different, then Young's modulus is ........
- 8View SolutionMinimum and maximum values of Poisson’s ratio for a metal lies between
- 9The length of an iron wire is $L$ and area of cross-section is $A$. The increase in length is $l$ on applying the force $F$ on its two ends. Which of the statement is correctView Solution
- 10If a load of $9$ $kg$ is suspended on a wire, the increase in length is $4.5\, mm$. The force constant of the wire isView Solution