The adjacent graph shows the extension $(\Delta l)$ of a wire of length $1\, m$ suspended from the top of a roof at one end and with a load $W$ connected to the other end. If the cross-sectional area of the wire is $10^{-6}\, m^2$, calculate the Young’s modulus of the material of the wire.
The adjacent graph shows the extension $(\Delta l)$ of a wire of length $1\, m$ suspended from the top of a roof at one end and with a load $W$ connected to the other end. If the cross-sectional area of the wire is $10^{-6}\, m^2$, calculate the Young’s modulus of the material of the wire.
- [AIIMS 2008]
- A
$2\times10^{11}\, N/m^2$
- B
$2\times10^{-11}\, N/m^2$
- C
$3\times10^{-12}\, N/m^2$
- D
$2\times10^{-13}\, N/m^2$
Similar Questions
The value of force constant between the applied elastic force $F$ and displacement will be
The value of force constant between the applied elastic force $F$ and displacement will be
In Column$-I$ there are two graphs and in Column$-II$ whose graph is for this are given. Join them appropriately :
Column $-I$
Column $-II$
$(a)$ image
$(i)$ $A$ is ductile
$(b)$ image
$(ii)$ $A$ is brittle
$(iii)$ $B$ is ductile
$(iv)$ $B$ is brittle
In Column$-I$ there are two graphs and in Column$-II$ whose graph is for this are given. Join them appropriately :
| Column $-I$ | Column $-II$ |
| $(a)$ image | $(i)$ $A$ is ductile |
| $(b)$ image | $(ii)$ $A$ is brittle |
| $(iii)$ $B$ is ductile | |
| $(iv)$ $B$ is brittle |
A uniform dense rod with non uniform young's modulus is hanging from ceiling under gravity. If elastic energy density at every point is same then young's modulus with $x$ will change as which of the shown graph
A uniform dense rod with non uniform young's modulus is hanging from ceiling under gravity. If elastic energy density at every point is same then young's modulus with $x$ will change as which of the shown graph
The stress-strain curves for brass, steel and rubber are shown in the figure. The lines $A, B$ and $C$ are for
The stress-strain curves for brass, steel and rubber are shown in the figure. The lines $A, B$ and $C$ are for
The load versus elongation graphs for four wires of same length and made of the same material are shown in the figure. The thinnest wire is represented by the line
The load versus elongation graphs for four wires of same length and made of the same material are shown in the figure. The thinnest wire is represented by the line
- [AIEEE 2012]