The Young's modulus of a wire is $Y.$ If the energy per unit volume is $E$, then the strain will be
The Young's modulus of a wire is $Y.$ If the energy per unit volume is $E$, then the strain will be
- A
$\sqrt {\frac{{2E}}{Y}} $
- B
$\sqrt {2EY} $
- C
$EY$
- D
$\frac{E}{Y}$
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Determine the elastic potential energy stored in stretched wire.
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The elastic behaviour of material for linear streass and linear strain, is shown in the figure. The energy density for a linear strain of $5 \times 10^{-4}$ is $\dots \; kJ / m ^{3}$. Assume that material is elastic upto the linear strain of $5 \times 10^{-4}$.
The elastic behaviour of material for linear streass and linear strain, is shown in the figure. The energy density for a linear strain of $5 \times 10^{-4}$ is $\dots \; kJ / m ^{3}$. Assume that material is elastic upto the linear strain of $5 \times 10^{-4}$.
- [JEE MAIN 2022]
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- [KVPY 2014]
A brass rod of cross-sectional area $1\,c{m^2}$ and length $0.2\, m$ is compressed lengthwise by a weight of $5\, kg$. If Young's modulus of elasticity of brass is $1 \times {10^{11}}\,N/{m^2}$ and $g = 10\,m/{\sec ^2}$, then increase in the energy of the rod will be
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