Four uniform wires of the same material are stretched by the same force. The dimensions of wire are as given below. The one which has the minimum elongation has
Medium
Download our app for free and get started
$\Delta \ell=\frac{\mathrm{F} \ell}{\pi \mathrm{r}^{2} \mathrm{y}} \Rightarrow \Delta e \frac{\ell}{\mathrm{r}^{2}}$
Only option 'radius $3 \mathrm{mm},$ length $2 \mathrm{m}$ ' is satisfying the above relation.
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
- 1A force $F$ is applied on the wire of radius $r$ and length $L$ and change in the length of wire is $l.$ If the same force $F$ is applied on the wire of the same material and radius $2r$ and length $2L,$ Then the change in length of the other wire isView Solution
- 2The elastic limit of brass is $3.5 \times 10^{10}\,N / m ^2$. Find the maximum load that can be applied to a brass wire of $0.75\,mm$ diameter without exceeding the elastic limit$.......\times 10^4\,N$View Solution
- 3How much force is required to produce an increase of $0.2\%$ in the length of a brass wire of diameter $0.6\, mm$ (Young’s modulus for brass = $0.9 \times {10^{11}}N/{m^2}$)View Solution
- 4The ratio of the lengths of two wires $A$ and $B$ of same material is $1 : 2$ and the ratio of their diameter is $2 : 1.$ They are stretched by the same force, then the ratio of increase in length will beView Solution
- 5Which of the following curve represents the correctly distribution of elongation $(y)$ along heavy rod under its own weight $L \rightarrow$ length of rod, $x \rightarrow$ distance of point from lower end?View Solution
- 6View SolutionThe quality of the material which opposes the change in shape, volume or length is called
- 7A structural steel rod has a radius of $10\,mm$ and length of $1.0\,m.$ A $100\,kN$ force stretches it along its length . Young's modulus of structural steel is $2 \times 10^{11}\,Nm^{-2}.$ The percentage strain is about ....... $\%$View Solution
- 8Given below are two statements: one is labelled as Assertion $A$ and the other is labelled as Reason $R$View Solution
Assertion $A$: Steel is used in the construction of buildings and bridges.
Reason $R:$ Steel is more elastic and its elastic limit is high.
In the light of above statements, choose the most appropriate answer from the options given below
- 9The elastic potential energy stored in a steel wire of length $20\,m$ stretched through $2 \,m$ is $80\,J$. The cross sectional area of the wire is $.........\,mm ^2$ (Given, $y =2.0 \times 10^{11}\,Nm ^{-2}$ )View Solution
- 10A force $F$ is needed to break a copper wire having radius $R.$ The force needed to break a copper wire of radius $2R$ will beView Solution