Elastic Potential Energy in a Stretched Wire
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369907 Wires \(A{\text{ and}}\,B\) are made from the same material. A has twice the diameter and three times the length of \(B\). If the elastic limits are not reached, when each is stretched by the same tension, the ratio of energy stored in the \(A\) to that in \(B\) is

1 \(3: 4\)
2 \(2: 3\)
3 \(6: 1\)
4 \(3: 2\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369908 Wires \(A\) and \(B\) are made from the same material. A has twice the diameter and three times the length of \(B\). If the elastic limits are not reached, when each is stretched by the same tension, the ratio of energy stored in the A to that in \(B\) is

1 \(3: 4\)
2 \(2: 3\)
3 \(6: 1\)
4 \(3: 2\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369909 A \(1 m\) long steel wire of cross-sectional area \(1\;m{m^2}\) is extended by \(1\;mm.\) If \(Y = 2 \times {10^{11}}N{m^{ - 2}}\) then the work done is

1 \(0.1\;J\)
2 \(0.2\;J\)
3 \(0.3\;J\)
4 \(0.4\;J\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369910 A stretched wire of a material whose Young's modulus \(Y = 2 \times {10^{11}}N{m^{ - 2}}\) has Poisson's ratio 0.25. Its lateral strain \(\varepsilon_{1}=10^{-3}\). The elastic energy density of the wire is

1 \(4 \times {10^5}J{m^{ - 3}}\)
2 \(8 \times {10^5}J{m^{ - 3}}\)
3 \(16 \times {10^5}J{m^{ - 3}}\)
4 \(1 \times {10^5}J{m^{ - 3}}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369907 Wires \(A{\text{ and}}\,B\) are made from the same material. A has twice the diameter and three times the length of \(B\). If the elastic limits are not reached, when each is stretched by the same tension, the ratio of energy stored in the \(A\) to that in \(B\) is

1 \(3: 4\)
2 \(2: 3\)
3 \(6: 1\)
4 \(3: 2\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369908 Wires \(A\) and \(B\) are made from the same material. A has twice the diameter and three times the length of \(B\). If the elastic limits are not reached, when each is stretched by the same tension, the ratio of energy stored in the A to that in \(B\) is

1 \(3: 4\)
2 \(2: 3\)
3 \(6: 1\)
4 \(3: 2\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369909 A \(1 m\) long steel wire of cross-sectional area \(1\;m{m^2}\) is extended by \(1\;mm.\) If \(Y = 2 \times {10^{11}}N{m^{ - 2}}\) then the work done is

1 \(0.1\;J\)
2 \(0.2\;J\)
3 \(0.3\;J\)
4 \(0.4\;J\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369910 A stretched wire of a material whose Young's modulus \(Y = 2 \times {10^{11}}N{m^{ - 2}}\) has Poisson's ratio 0.25. Its lateral strain \(\varepsilon_{1}=10^{-3}\). The elastic energy density of the wire is

1 \(4 \times {10^5}J{m^{ - 3}}\)
2 \(8 \times {10^5}J{m^{ - 3}}\)
3 \(16 \times {10^5}J{m^{ - 3}}\)
4 \(1 \times {10^5}J{m^{ - 3}}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369907 Wires \(A{\text{ and}}\,B\) are made from the same material. A has twice the diameter and three times the length of \(B\). If the elastic limits are not reached, when each is stretched by the same tension, the ratio of energy stored in the \(A\) to that in \(B\) is

1 \(3: 4\)
2 \(2: 3\)
3 \(6: 1\)
4 \(3: 2\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369908 Wires \(A\) and \(B\) are made from the same material. A has twice the diameter and three times the length of \(B\). If the elastic limits are not reached, when each is stretched by the same tension, the ratio of energy stored in the A to that in \(B\) is

1 \(3: 4\)
2 \(2: 3\)
3 \(6: 1\)
4 \(3: 2\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369909 A \(1 m\) long steel wire of cross-sectional area \(1\;m{m^2}\) is extended by \(1\;mm.\) If \(Y = 2 \times {10^{11}}N{m^{ - 2}}\) then the work done is

1 \(0.1\;J\)
2 \(0.2\;J\)
3 \(0.3\;J\)
4 \(0.4\;J\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369910 A stretched wire of a material whose Young's modulus \(Y = 2 \times {10^{11}}N{m^{ - 2}}\) has Poisson's ratio 0.25. Its lateral strain \(\varepsilon_{1}=10^{-3}\). The elastic energy density of the wire is

1 \(4 \times {10^5}J{m^{ - 3}}\)
2 \(8 \times {10^5}J{m^{ - 3}}\)
3 \(16 \times {10^5}J{m^{ - 3}}\)
4 \(1 \times {10^5}J{m^{ - 3}}\)
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PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369907 Wires \(A{\text{ and}}\,B\) are made from the same material. A has twice the diameter and three times the length of \(B\). If the elastic limits are not reached, when each is stretched by the same tension, the ratio of energy stored in the \(A\) to that in \(B\) is

1 \(3: 4\)
2 \(2: 3\)
3 \(6: 1\)
4 \(3: 2\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369908 Wires \(A\) and \(B\) are made from the same material. A has twice the diameter and three times the length of \(B\). If the elastic limits are not reached, when each is stretched by the same tension, the ratio of energy stored in the A to that in \(B\) is

1 \(3: 4\)
2 \(2: 3\)
3 \(6: 1\)
4 \(3: 2\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369909 A \(1 m\) long steel wire of cross-sectional area \(1\;m{m^2}\) is extended by \(1\;mm.\) If \(Y = 2 \times {10^{11}}N{m^{ - 2}}\) then the work done is

1 \(0.1\;J\)
2 \(0.2\;J\)
3 \(0.3\;J\)
4 \(0.4\;J\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369910 A stretched wire of a material whose Young's modulus \(Y = 2 \times {10^{11}}N{m^{ - 2}}\) has Poisson's ratio 0.25. Its lateral strain \(\varepsilon_{1}=10^{-3}\). The elastic energy density of the wire is

1 \(4 \times {10^5}J{m^{ - 3}}\)
2 \(8 \times {10^5}J{m^{ - 3}}\)
3 \(16 \times {10^5}J{m^{ - 3}}\)
4 \(1 \times {10^5}J{m^{ - 3}}\)