Elastic Moduli
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369870 A steel rod of cross-sectional area \(1 {~m}^{2}\) is acted upon \(y\) forces shown in figure. Determine the total elongation of the bar. Take \(Y=2.0 \times 10^{11} {~N} / {m}^{2}\).
supporting img

1 \(5.1\,\mu m\)
2 \(2.7\,\mu m\)
3 \(1.3\,\mu m\)
4 \(6.7\,\mu m\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369871 Three wires \(P, Q\) and \(R\) of the same material and length have radii \(0.1\;\,cm,\,\,0.2\;\,cm\) and \(0.3\;\,cm\) respectively. Which wire has the highest value of Young's modulus of elasticity?

1 \({\text{Q}}\)
2 \({\text{P}}\)
3 \({\text{R}}\)
4 All have the same value
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369872 A \(15\;kg\) mass attached to the end of a steel wire of unstretched length \(1\;m\) is whirled in a vertical circle with an angular frequency of \(2\,\,rev{s^{ - 1}}\) at the bottom of the circle. The cross-section of the wire is \(0.05\;c{m^2}.\) The elongation of the wire in \(mm\) when the mass is at the lowest point of its path is
(Take, \(g = 10\;m{s^2},{Y_{steel{\rm{ }}}} = 2 \times {10^{11}}N{m^{ - 2}}\) and \({\pi ^2} = 10\))

1 2.55
2 5.65
3 9.7
4 3.5
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369873 A block of mass \(500\;kg\) is suspended by wire of length \(70\;cm\). The area of cross-section of wire \(10\;m{m^2}\). When the load is removed, the wire contracts by \(0.5\;cm\) The Young's modulus of the material of wire will be

1 \(10 \times {10^{14}}\;N{\rm{/}}{m^2}\)
2 \(4 \times {10^{14}}\;N{\rm{/}}{m^2}\)
3 \(8 \times {10^{11}}\;N{\rm{/}}{m^2}\)
4 \(7 \times {10^{10}}\;N{\rm{/}}{m^2}\)
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PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369870 A steel rod of cross-sectional area \(1 {~m}^{2}\) is acted upon \(y\) forces shown in figure. Determine the total elongation of the bar. Take \(Y=2.0 \times 10^{11} {~N} / {m}^{2}\).
supporting img

1 \(5.1\,\mu m\)
2 \(2.7\,\mu m\)
3 \(1.3\,\mu m\)
4 \(6.7\,\mu m\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369871 Three wires \(P, Q\) and \(R\) of the same material and length have radii \(0.1\;\,cm,\,\,0.2\;\,cm\) and \(0.3\;\,cm\) respectively. Which wire has the highest value of Young's modulus of elasticity?

1 \({\text{Q}}\)
2 \({\text{P}}\)
3 \({\text{R}}\)
4 All have the same value
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369872 A \(15\;kg\) mass attached to the end of a steel wire of unstretched length \(1\;m\) is whirled in a vertical circle with an angular frequency of \(2\,\,rev{s^{ - 1}}\) at the bottom of the circle. The cross-section of the wire is \(0.05\;c{m^2}.\) The elongation of the wire in \(mm\) when the mass is at the lowest point of its path is
(Take, \(g = 10\;m{s^2},{Y_{steel{\rm{ }}}} = 2 \times {10^{11}}N{m^{ - 2}}\) and \({\pi ^2} = 10\))

1 2.55
2 5.65
3 9.7
4 3.5
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369873 A block of mass \(500\;kg\) is suspended by wire of length \(70\;cm\). The area of cross-section of wire \(10\;m{m^2}\). When the load is removed, the wire contracts by \(0.5\;cm\) The Young's modulus of the material of wire will be

1 \(10 \times {10^{14}}\;N{\rm{/}}{m^2}\)
2 \(4 \times {10^{14}}\;N{\rm{/}}{m^2}\)
3 \(8 \times {10^{11}}\;N{\rm{/}}{m^2}\)
4 \(7 \times {10^{10}}\;N{\rm{/}}{m^2}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369870 A steel rod of cross-sectional area \(1 {~m}^{2}\) is acted upon \(y\) forces shown in figure. Determine the total elongation of the bar. Take \(Y=2.0 \times 10^{11} {~N} / {m}^{2}\).
supporting img

1 \(5.1\,\mu m\)
2 \(2.7\,\mu m\)
3 \(1.3\,\mu m\)
4 \(6.7\,\mu m\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369871 Three wires \(P, Q\) and \(R\) of the same material and length have radii \(0.1\;\,cm,\,\,0.2\;\,cm\) and \(0.3\;\,cm\) respectively. Which wire has the highest value of Young's modulus of elasticity?

1 \({\text{Q}}\)
2 \({\text{P}}\)
3 \({\text{R}}\)
4 All have the same value
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369872 A \(15\;kg\) mass attached to the end of a steel wire of unstretched length \(1\;m\) is whirled in a vertical circle with an angular frequency of \(2\,\,rev{s^{ - 1}}\) at the bottom of the circle. The cross-section of the wire is \(0.05\;c{m^2}.\) The elongation of the wire in \(mm\) when the mass is at the lowest point of its path is
(Take, \(g = 10\;m{s^2},{Y_{steel{\rm{ }}}} = 2 \times {10^{11}}N{m^{ - 2}}\) and \({\pi ^2} = 10\))

1 2.55
2 5.65
3 9.7
4 3.5
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369873 A block of mass \(500\;kg\) is suspended by wire of length \(70\;cm\). The area of cross-section of wire \(10\;m{m^2}\). When the load is removed, the wire contracts by \(0.5\;cm\) The Young's modulus of the material of wire will be

1 \(10 \times {10^{14}}\;N{\rm{/}}{m^2}\)
2 \(4 \times {10^{14}}\;N{\rm{/}}{m^2}\)
3 \(8 \times {10^{11}}\;N{\rm{/}}{m^2}\)
4 \(7 \times {10^{10}}\;N{\rm{/}}{m^2}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369870 A steel rod of cross-sectional area \(1 {~m}^{2}\) is acted upon \(y\) forces shown in figure. Determine the total elongation of the bar. Take \(Y=2.0 \times 10^{11} {~N} / {m}^{2}\).
supporting img

1 \(5.1\,\mu m\)
2 \(2.7\,\mu m\)
3 \(1.3\,\mu m\)
4 \(6.7\,\mu m\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369871 Three wires \(P, Q\) and \(R\) of the same material and length have radii \(0.1\;\,cm,\,\,0.2\;\,cm\) and \(0.3\;\,cm\) respectively. Which wire has the highest value of Young's modulus of elasticity?

1 \({\text{Q}}\)
2 \({\text{P}}\)
3 \({\text{R}}\)
4 All have the same value
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369872 A \(15\;kg\) mass attached to the end of a steel wire of unstretched length \(1\;m\) is whirled in a vertical circle with an angular frequency of \(2\,\,rev{s^{ - 1}}\) at the bottom of the circle. The cross-section of the wire is \(0.05\;c{m^2}.\) The elongation of the wire in \(mm\) when the mass is at the lowest point of its path is
(Take, \(g = 10\;m{s^2},{Y_{steel{\rm{ }}}} = 2 \times {10^{11}}N{m^{ - 2}}\) and \({\pi ^2} = 10\))

1 2.55
2 5.65
3 9.7
4 3.5
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369873 A block of mass \(500\;kg\) is suspended by wire of length \(70\;cm\). The area of cross-section of wire \(10\;m{m^2}\). When the load is removed, the wire contracts by \(0.5\;cm\) The Young's modulus of the material of wire will be

1 \(10 \times {10^{14}}\;N{\rm{/}}{m^2}\)
2 \(4 \times {10^{14}}\;N{\rm{/}}{m^2}\)
3 \(8 \times {10^{11}}\;N{\rm{/}}{m^2}\)
4 \(7 \times {10^{10}}\;N{\rm{/}}{m^2}\)