03. Stored Energy
Mechanical Properties of Solids

141133 When a $8 \mathrm{~m}$ long wire is stretched by a load of $10 \mathrm{~kg}-w t$. It is elongated by $1.5 \mathrm{~mm}$. The energy stored in the wire in this process is $-(\mathrm{g}=10$ $\mathrm{m} . \mathrm{s}^{-2}$ )

1 $7.5 \mathrm{~J}$
2 $0.05 \mathrm{~J}$
3 $5 \mathrm{~J}$
4 $0.075 \mathrm{~J}$
Mechanical Properties of Solids

141134 A metal rod of Young's modulus $1.5 \times 10^{10}$ $\mathrm{N} / \mathrm{m}^{2}$ undergoes an elastic strain of $0.06 \%$. The energy stored per unit volume of the rod is

1 $900 \mathrm{~J} / \mathrm{m}^{3}$
2 $1800 \mathrm{~J} / \mathrm{m}^{3}$
3 $2700 \mathrm{~J} / \mathrm{m}^{3}$
4 $5400 \mathrm{~J} / \mathrm{m}^{3}$
Mechanical Properties of Solids

141140 A wire of initial length $L$ and radius $r$ is stretched by a length $\boldsymbol{l}$. Another wire of same material but with initial length $2 L$ and radius $2 \mathrm{r}$ is stretched by a length $2 l$. The ratio of stored elastic energy per unit volume in the first and second wire is

1 $1: 4$
2 $1: 2$
3 $2: 1$
4 $1: 1$
Mechanical Properties of Solids

141142 If the work done in stretching a wire by $1 \mathrm{~mm}$ is $2 \mathrm{~J}$, the work necessary for stretching another wire of same material but with double radius of cross-section and half the length by $1 \mathrm{~mm}$ (in joule) is

1 16
2 8
3 4
4 $1 / 4$
Mechanical Properties of Solids

141143 Force constants of two wires $A$ and $B$ of the same material are $K$ and $2 K$ respectively. If the two wires are stretched equally then the ratio of work done in stretching $\left(\frac{W_{A}}{W_{B}}\right)$ is

1 $\frac{1}{3}$
2 $\frac{1}{2}$
3 $\frac{3}{2}$
4 $\frac{1}{4}$
Mechanical Properties of Solids

141133 When a $8 \mathrm{~m}$ long wire is stretched by a load of $10 \mathrm{~kg}-w t$. It is elongated by $1.5 \mathrm{~mm}$. The energy stored in the wire in this process is $-(\mathrm{g}=10$ $\mathrm{m} . \mathrm{s}^{-2}$ )

1 $7.5 \mathrm{~J}$
2 $0.05 \mathrm{~J}$
3 $5 \mathrm{~J}$
4 $0.075 \mathrm{~J}$
Mechanical Properties of Solids

141134 A metal rod of Young's modulus $1.5 \times 10^{10}$ $\mathrm{N} / \mathrm{m}^{2}$ undergoes an elastic strain of $0.06 \%$. The energy stored per unit volume of the rod is

1 $900 \mathrm{~J} / \mathrm{m}^{3}$
2 $1800 \mathrm{~J} / \mathrm{m}^{3}$
3 $2700 \mathrm{~J} / \mathrm{m}^{3}$
4 $5400 \mathrm{~J} / \mathrm{m}^{3}$
Mechanical Properties of Solids

141140 A wire of initial length $L$ and radius $r$ is stretched by a length $\boldsymbol{l}$. Another wire of same material but with initial length $2 L$ and radius $2 \mathrm{r}$ is stretched by a length $2 l$. The ratio of stored elastic energy per unit volume in the first and second wire is

1 $1: 4$
2 $1: 2$
3 $2: 1$
4 $1: 1$
Mechanical Properties of Solids

141142 If the work done in stretching a wire by $1 \mathrm{~mm}$ is $2 \mathrm{~J}$, the work necessary for stretching another wire of same material but with double radius of cross-section and half the length by $1 \mathrm{~mm}$ (in joule) is

1 16
2 8
3 4
4 $1 / 4$
Mechanical Properties of Solids

141143 Force constants of two wires $A$ and $B$ of the same material are $K$ and $2 K$ respectively. If the two wires are stretched equally then the ratio of work done in stretching $\left(\frac{W_{A}}{W_{B}}\right)$ is

1 $\frac{1}{3}$
2 $\frac{1}{2}$
3 $\frac{3}{2}$
4 $\frac{1}{4}$
Mechanical Properties of Solids

141133 When a $8 \mathrm{~m}$ long wire is stretched by a load of $10 \mathrm{~kg}-w t$. It is elongated by $1.5 \mathrm{~mm}$. The energy stored in the wire in this process is $-(\mathrm{g}=10$ $\mathrm{m} . \mathrm{s}^{-2}$ )

1 $7.5 \mathrm{~J}$
2 $0.05 \mathrm{~J}$
3 $5 \mathrm{~J}$
4 $0.075 \mathrm{~J}$
Mechanical Properties of Solids

141134 A metal rod of Young's modulus $1.5 \times 10^{10}$ $\mathrm{N} / \mathrm{m}^{2}$ undergoes an elastic strain of $0.06 \%$. The energy stored per unit volume of the rod is

1 $900 \mathrm{~J} / \mathrm{m}^{3}$
2 $1800 \mathrm{~J} / \mathrm{m}^{3}$
3 $2700 \mathrm{~J} / \mathrm{m}^{3}$
4 $5400 \mathrm{~J} / \mathrm{m}^{3}$
Mechanical Properties of Solids

141140 A wire of initial length $L$ and radius $r$ is stretched by a length $\boldsymbol{l}$. Another wire of same material but with initial length $2 L$ and radius $2 \mathrm{r}$ is stretched by a length $2 l$. The ratio of stored elastic energy per unit volume in the first and second wire is

1 $1: 4$
2 $1: 2$
3 $2: 1$
4 $1: 1$
Mechanical Properties of Solids

141142 If the work done in stretching a wire by $1 \mathrm{~mm}$ is $2 \mathrm{~J}$, the work necessary for stretching another wire of same material but with double radius of cross-section and half the length by $1 \mathrm{~mm}$ (in joule) is

1 16
2 8
3 4
4 $1 / 4$
Mechanical Properties of Solids

141143 Force constants of two wires $A$ and $B$ of the same material are $K$ and $2 K$ respectively. If the two wires are stretched equally then the ratio of work done in stretching $\left(\frac{W_{A}}{W_{B}}\right)$ is

1 $\frac{1}{3}$
2 $\frac{1}{2}$
3 $\frac{3}{2}$
4 $\frac{1}{4}$
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Mechanical Properties of Solids

141133 When a $8 \mathrm{~m}$ long wire is stretched by a load of $10 \mathrm{~kg}-w t$. It is elongated by $1.5 \mathrm{~mm}$. The energy stored in the wire in this process is $-(\mathrm{g}=10$ $\mathrm{m} . \mathrm{s}^{-2}$ )

1 $7.5 \mathrm{~J}$
2 $0.05 \mathrm{~J}$
3 $5 \mathrm{~J}$
4 $0.075 \mathrm{~J}$
Mechanical Properties of Solids

141134 A metal rod of Young's modulus $1.5 \times 10^{10}$ $\mathrm{N} / \mathrm{m}^{2}$ undergoes an elastic strain of $0.06 \%$. The energy stored per unit volume of the rod is

1 $900 \mathrm{~J} / \mathrm{m}^{3}$
2 $1800 \mathrm{~J} / \mathrm{m}^{3}$
3 $2700 \mathrm{~J} / \mathrm{m}^{3}$
4 $5400 \mathrm{~J} / \mathrm{m}^{3}$
Mechanical Properties of Solids

141140 A wire of initial length $L$ and radius $r$ is stretched by a length $\boldsymbol{l}$. Another wire of same material but with initial length $2 L$ and radius $2 \mathrm{r}$ is stretched by a length $2 l$. The ratio of stored elastic energy per unit volume in the first and second wire is

1 $1: 4$
2 $1: 2$
3 $2: 1$
4 $1: 1$
Mechanical Properties of Solids

141142 If the work done in stretching a wire by $1 \mathrm{~mm}$ is $2 \mathrm{~J}$, the work necessary for stretching another wire of same material but with double radius of cross-section and half the length by $1 \mathrm{~mm}$ (in joule) is

1 16
2 8
3 4
4 $1 / 4$
Mechanical Properties of Solids

141143 Force constants of two wires $A$ and $B$ of the same material are $K$ and $2 K$ respectively. If the two wires are stretched equally then the ratio of work done in stretching $\left(\frac{W_{A}}{W_{B}}\right)$ is

1 $\frac{1}{3}$
2 $\frac{1}{2}$
3 $\frac{3}{2}$
4 $\frac{1}{4}$
Mechanical Properties of Solids

141133 When a $8 \mathrm{~m}$ long wire is stretched by a load of $10 \mathrm{~kg}-w t$. It is elongated by $1.5 \mathrm{~mm}$. The energy stored in the wire in this process is $-(\mathrm{g}=10$ $\mathrm{m} . \mathrm{s}^{-2}$ )

1 $7.5 \mathrm{~J}$
2 $0.05 \mathrm{~J}$
3 $5 \mathrm{~J}$
4 $0.075 \mathrm{~J}$
Mechanical Properties of Solids

141134 A metal rod of Young's modulus $1.5 \times 10^{10}$ $\mathrm{N} / \mathrm{m}^{2}$ undergoes an elastic strain of $0.06 \%$. The energy stored per unit volume of the rod is

1 $900 \mathrm{~J} / \mathrm{m}^{3}$
2 $1800 \mathrm{~J} / \mathrm{m}^{3}$
3 $2700 \mathrm{~J} / \mathrm{m}^{3}$
4 $5400 \mathrm{~J} / \mathrm{m}^{3}$
Mechanical Properties of Solids

141140 A wire of initial length $L$ and radius $r$ is stretched by a length $\boldsymbol{l}$. Another wire of same material but with initial length $2 L$ and radius $2 \mathrm{r}$ is stretched by a length $2 l$. The ratio of stored elastic energy per unit volume in the first and second wire is

1 $1: 4$
2 $1: 2$
3 $2: 1$
4 $1: 1$
Mechanical Properties of Solids

141142 If the work done in stretching a wire by $1 \mathrm{~mm}$ is $2 \mathrm{~J}$, the work necessary for stretching another wire of same material but with double radius of cross-section and half the length by $1 \mathrm{~mm}$ (in joule) is

1 16
2 8
3 4
4 $1 / 4$
Mechanical Properties of Solids

141143 Force constants of two wires $A$ and $B$ of the same material are $K$ and $2 K$ respectively. If the two wires are stretched equally then the ratio of work done in stretching $\left(\frac{W_{A}}{W_{B}}\right)$ is

1 $\frac{1}{3}$
2 $\frac{1}{2}$
3 $\frac{3}{2}$
4 $\frac{1}{4}$