00. Elasticity, Stress, Strain and Hooke's law
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
Mechanical Properties of Solids

140885 Two wires made from the same material have their lengths $L$ and $2 L$ and the radii $2 r$ and $r$ respectively. If they are stretched by the same force. Their extensions are $E_{1}$ and $E_{2}$. The ratio $\frac{E_{1}}{E_{2}}$ is

1 $1: 8$
2 $8: 1$
3 $1: 4$
4 $2: 1$
Mechanical Properties of Solids

140887 A force $F$ is required to break a wire of length $l$ and radius $r$. What force is required to break a wire, of same material having twice the length and six times the radius?

1 $\mathrm{F}$
2 $3 \mathrm{~F}$
3 $9 \mathrm{~F}$
4 $36 \mathrm{~F}$
Mechanical Properties of Solids

140889 The elastic limit of brass is $3.5 \times 10^{10} \mathrm{~N} / \mathrm{m}^{2}$. Find the maximum load that can be applied to a brass wire of $0.75 \mathrm{~mm}$ diameter without exceeding the elastic limit.

1 $4.12 \times 10^{4} \mathrm{~N}$
2 $5.15 \times 10^{4} \mathrm{~N}$
3 $0.55 \times 10^{4} \mathrm{~N}$
4 $1.55 \times 10^{4} \mathrm{~N}$
Mechanical Properties of Solids

140891 Two wires are made of the same material and have the same volume. However wire 1 has cross-sectional area $A$ and wire 2 has crosssectional area $3 \mathrm{~A}$. If the length of wire 1 increases by $\Delta x$ on applying force $F$, how much force is needed to stretch wire 2 by the same amount?

1 $4 \mathrm{~F}$
2 $6 \mathrm{~F}$
3 $9 \mathrm{~F}$
4 $\mathrm{F}$
Mechanical Properties of Solids

140885 Two wires made from the same material have their lengths $L$ and $2 L$ and the radii $2 r$ and $r$ respectively. If they are stretched by the same force. Their extensions are $E_{1}$ and $E_{2}$. The ratio $\frac{E_{1}}{E_{2}}$ is

1 $1: 8$
2 $8: 1$
3 $1: 4$
4 $2: 1$
Mechanical Properties of Solids

140887 A force $F$ is required to break a wire of length $l$ and radius $r$. What force is required to break a wire, of same material having twice the length and six times the radius?

1 $\mathrm{F}$
2 $3 \mathrm{~F}$
3 $9 \mathrm{~F}$
4 $36 \mathrm{~F}$
Mechanical Properties of Solids

140889 The elastic limit of brass is $3.5 \times 10^{10} \mathrm{~N} / \mathrm{m}^{2}$. Find the maximum load that can be applied to a brass wire of $0.75 \mathrm{~mm}$ diameter without exceeding the elastic limit.

1 $4.12 \times 10^{4} \mathrm{~N}$
2 $5.15 \times 10^{4} \mathrm{~N}$
3 $0.55 \times 10^{4} \mathrm{~N}$
4 $1.55 \times 10^{4} \mathrm{~N}$
Mechanical Properties of Solids

140891 Two wires are made of the same material and have the same volume. However wire 1 has cross-sectional area $A$ and wire 2 has crosssectional area $3 \mathrm{~A}$. If the length of wire 1 increases by $\Delta x$ on applying force $F$, how much force is needed to stretch wire 2 by the same amount?

1 $4 \mathrm{~F}$
2 $6 \mathrm{~F}$
3 $9 \mathrm{~F}$
4 $\mathrm{F}$
Mechanical Properties of Solids

140885 Two wires made from the same material have their lengths $L$ and $2 L$ and the radii $2 r$ and $r$ respectively. If they are stretched by the same force. Their extensions are $E_{1}$ and $E_{2}$. The ratio $\frac{E_{1}}{E_{2}}$ is

1 $1: 8$
2 $8: 1$
3 $1: 4$
4 $2: 1$
Mechanical Properties of Solids

140887 A force $F$ is required to break a wire of length $l$ and radius $r$. What force is required to break a wire, of same material having twice the length and six times the radius?

1 $\mathrm{F}$
2 $3 \mathrm{~F}$
3 $9 \mathrm{~F}$
4 $36 \mathrm{~F}$
Mechanical Properties of Solids

140889 The elastic limit of brass is $3.5 \times 10^{10} \mathrm{~N} / \mathrm{m}^{2}$. Find the maximum load that can be applied to a brass wire of $0.75 \mathrm{~mm}$ diameter without exceeding the elastic limit.

1 $4.12 \times 10^{4} \mathrm{~N}$
2 $5.15 \times 10^{4} \mathrm{~N}$
3 $0.55 \times 10^{4} \mathrm{~N}$
4 $1.55 \times 10^{4} \mathrm{~N}$
Mechanical Properties of Solids

140891 Two wires are made of the same material and have the same volume. However wire 1 has cross-sectional area $A$ and wire 2 has crosssectional area $3 \mathrm{~A}$. If the length of wire 1 increases by $\Delta x$ on applying force $F$, how much force is needed to stretch wire 2 by the same amount?

1 $4 \mathrm{~F}$
2 $6 \mathrm{~F}$
3 $9 \mathrm{~F}$
4 $\mathrm{F}$
Mechanical Properties of Solids

140885 Two wires made from the same material have their lengths $L$ and $2 L$ and the radii $2 r$ and $r$ respectively. If they are stretched by the same force. Their extensions are $E_{1}$ and $E_{2}$. The ratio $\frac{E_{1}}{E_{2}}$ is

1 $1: 8$
2 $8: 1$
3 $1: 4$
4 $2: 1$
Mechanical Properties of Solids

140887 A force $F$ is required to break a wire of length $l$ and radius $r$. What force is required to break a wire, of same material having twice the length and six times the radius?

1 $\mathrm{F}$
2 $3 \mathrm{~F}$
3 $9 \mathrm{~F}$
4 $36 \mathrm{~F}$
Mechanical Properties of Solids

140889 The elastic limit of brass is $3.5 \times 10^{10} \mathrm{~N} / \mathrm{m}^{2}$. Find the maximum load that can be applied to a brass wire of $0.75 \mathrm{~mm}$ diameter without exceeding the elastic limit.

1 $4.12 \times 10^{4} \mathrm{~N}$
2 $5.15 \times 10^{4} \mathrm{~N}$
3 $0.55 \times 10^{4} \mathrm{~N}$
4 $1.55 \times 10^{4} \mathrm{~N}$
Mechanical Properties of Solids

140891 Two wires are made of the same material and have the same volume. However wire 1 has cross-sectional area $A$ and wire 2 has crosssectional area $3 \mathrm{~A}$. If the length of wire 1 increases by $\Delta x$ on applying force $F$, how much force is needed to stretch wire 2 by the same amount?

1 $4 \mathrm{~F}$
2 $6 \mathrm{~F}$
3 $9 \mathrm{~F}$
4 $\mathrm{F}$