A 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 is
Medium
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
- 1$Assertion :$ Solids are least compressible and gases are most compressible.View Solution
$Reason :$ solids have definite shape and volume but gases do not have either definite shape or definite volume. - 2A uniform wire of length $L$ and radius $r$ is twisted by an angle $\alpha$. If modulus of rigidity of the wire is $\eta$, then the elastic potential energy stored in wire, is .........View Solution
- 3The specific heat at constant pressure and at constant volume for an ideal gas are ${C_p}$ and ${C_v}$ and its adiabatic and isothermal elasticities are ${E_\varphi }$ and ${E_\theta }$ respectively. The ratio of ${E_\varphi }$ to ${E_\theta }$ isView Solution
- 4The work done in increasing the length of a $1$ $metre$ long wire of cross-section area $1\, mm^2$ through $1\, mm$ will be ....... $J$ $(Y = 2\times10^{11}\, Nm^{-2})$View Solution
- 5A rod of length $L$ at room temperature and uniform area of cross section $A$, is made of a metal having coefficient of linear expansion $\alpha {/^o}C$. It is observed that an external compressive force $F$, is applied on each of its ends, prevents any change in the length of the rod, when it temperature rises by $\Delta \,TK$. Young’s modulus, $Y$, for this metal isView Solution
- 6Match the type of elasticity involvedView Solution
$(i)$ Suspension fibre of galvanometer $(a)$ Linear $(ii)$ Bending of beam $(b)$ Shear $(iii)$ cutting piece of paper $(c)$ Bulk $(iv)$ mechanical waves in fluid $(d)$ Shear - 7Which one of the following is the Young’s modulus $($in $N/m^2)$ for the wire having the stress-strain curve shown in the figureView Solution
- 8View SolutionThe load versus strain graph for four wires of the same material is shown in the figure. The thickest wire is represented by the line
- 9An elastic material of Young's modulus $Y$ is subjected to a stress $S$. The elastic energy stored per unit volume of the material isView Solution
- 10A metal wire of length $'L'$ is suspended vertically from a rigid support. When a body of mass $M$ is attached to the lower end of wire, the elongation in wire is $'l'$, consider the following statementsView Solution
$(I)$ the loss of gravitational potential energy of mass $M$ is $Mgl$
$(II)$ the elastic potential energy stored in the wire is $Mgl$
$(III)$ the elastic potential energy stored in wire is $\frac{1}{2}\, Mg l$
$(IV)$ heat produced is $\frac{1}{2}\, Mg l$
Correct statement are :-