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

369898 A metal rod has length, cross - sectional area and Young's modulus as \(L\), \(A\) and \(Y\) respectively. If the elongation produced in the rod is \(l\), then the work done is proportional to

1 \(l^{4}\)
2 \(l\)
3 \(l^{3}\)
4 \(l^{2}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369899 A catapult consists of two parallel rubber strings, each of lengths 10 \(cm\) and cross-sectional area \(10 {~mm}^{2}\). When stretched by 5 \(cm\) , it can throw a stone of mass 100 \(g\) to a vertical height of 25 \(m\) . Determine Young's modulus of elasticity of rubber

1 \(10 \times {10^8}\,N/{m^2}\)
2 \(8 \times {10^8}\,N/{m^2}\)
3 \(15 \times {10^8}\,N/{m^2}\)
4 \(20 \times {10^8}\,N/{m^2}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369900 A smooth uniform string of natural length ' \(l\) ', cross-sectional area A and Young's modulus \(Y\) is pulled along its length by a force \(F\) on a horizontal surface. Find the elastic potential energy stored in the string.

1 \(U=\dfrac{F^{2} l}{3 A Y}\)
2 \(U=\dfrac{F^{2} l}{A Y}\)
3 \(U=\dfrac{F^{2} l}{2 A Y}\)
4 \(U=\dfrac{F^{2} l}{6 A Y}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369901 A uniform wire of length \(4{\rm{ }}m\) and area of cross-section \(2\;m{m^2}\) is subjected to longitudinal force produced an elongation of \(1\;mm\) If \(Y = 0.2 \times {10^{11}}N{m^{ - 2}}\), elastic potential energy stored in the body is

1 \(0.5\;J\)
2 \(0.05\;J\)
3 \(0.005\;J\)
4 \(5.0\;J\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369898 A metal rod has length, cross - sectional area and Young's modulus as \(L\), \(A\) and \(Y\) respectively. If the elongation produced in the rod is \(l\), then the work done is proportional to

1 \(l^{4}\)
2 \(l\)
3 \(l^{3}\)
4 \(l^{2}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369899 A catapult consists of two parallel rubber strings, each of lengths 10 \(cm\) and cross-sectional area \(10 {~mm}^{2}\). When stretched by 5 \(cm\) , it can throw a stone of mass 100 \(g\) to a vertical height of 25 \(m\) . Determine Young's modulus of elasticity of rubber

1 \(10 \times {10^8}\,N/{m^2}\)
2 \(8 \times {10^8}\,N/{m^2}\)
3 \(15 \times {10^8}\,N/{m^2}\)
4 \(20 \times {10^8}\,N/{m^2}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369900 A smooth uniform string of natural length ' \(l\) ', cross-sectional area A and Young's modulus \(Y\) is pulled along its length by a force \(F\) on a horizontal surface. Find the elastic potential energy stored in the string.

1 \(U=\dfrac{F^{2} l}{3 A Y}\)
2 \(U=\dfrac{F^{2} l}{A Y}\)
3 \(U=\dfrac{F^{2} l}{2 A Y}\)
4 \(U=\dfrac{F^{2} l}{6 A Y}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369901 A uniform wire of length \(4{\rm{ }}m\) and area of cross-section \(2\;m{m^2}\) is subjected to longitudinal force produced an elongation of \(1\;mm\) If \(Y = 0.2 \times {10^{11}}N{m^{ - 2}}\), elastic potential energy stored in the body is

1 \(0.5\;J\)
2 \(0.05\;J\)
3 \(0.005\;J\)
4 \(5.0\;J\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369898 A metal rod has length, cross - sectional area and Young's modulus as \(L\), \(A\) and \(Y\) respectively. If the elongation produced in the rod is \(l\), then the work done is proportional to

1 \(l^{4}\)
2 \(l\)
3 \(l^{3}\)
4 \(l^{2}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369899 A catapult consists of two parallel rubber strings, each of lengths 10 \(cm\) and cross-sectional area \(10 {~mm}^{2}\). When stretched by 5 \(cm\) , it can throw a stone of mass 100 \(g\) to a vertical height of 25 \(m\) . Determine Young's modulus of elasticity of rubber

1 \(10 \times {10^8}\,N/{m^2}\)
2 \(8 \times {10^8}\,N/{m^2}\)
3 \(15 \times {10^8}\,N/{m^2}\)
4 \(20 \times {10^8}\,N/{m^2}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369900 A smooth uniform string of natural length ' \(l\) ', cross-sectional area A and Young's modulus \(Y\) is pulled along its length by a force \(F\) on a horizontal surface. Find the elastic potential energy stored in the string.

1 \(U=\dfrac{F^{2} l}{3 A Y}\)
2 \(U=\dfrac{F^{2} l}{A Y}\)
3 \(U=\dfrac{F^{2} l}{2 A Y}\)
4 \(U=\dfrac{F^{2} l}{6 A Y}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369901 A uniform wire of length \(4{\rm{ }}m\) and area of cross-section \(2\;m{m^2}\) is subjected to longitudinal force produced an elongation of \(1\;mm\) If \(Y = 0.2 \times {10^{11}}N{m^{ - 2}}\), elastic potential energy stored in the body is

1 \(0.5\;J\)
2 \(0.05\;J\)
3 \(0.005\;J\)
4 \(5.0\;J\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369898 A metal rod has length, cross - sectional area and Young's modulus as \(L\), \(A\) and \(Y\) respectively. If the elongation produced in the rod is \(l\), then the work done is proportional to

1 \(l^{4}\)
2 \(l\)
3 \(l^{3}\)
4 \(l^{2}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369899 A catapult consists of two parallel rubber strings, each of lengths 10 \(cm\) and cross-sectional area \(10 {~mm}^{2}\). When stretched by 5 \(cm\) , it can throw a stone of mass 100 \(g\) to a vertical height of 25 \(m\) . Determine Young's modulus of elasticity of rubber

1 \(10 \times {10^8}\,N/{m^2}\)
2 \(8 \times {10^8}\,N/{m^2}\)
3 \(15 \times {10^8}\,N/{m^2}\)
4 \(20 \times {10^8}\,N/{m^2}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369900 A smooth uniform string of natural length ' \(l\) ', cross-sectional area A and Young's modulus \(Y\) is pulled along its length by a force \(F\) on a horizontal surface. Find the elastic potential energy stored in the string.

1 \(U=\dfrac{F^{2} l}{3 A Y}\)
2 \(U=\dfrac{F^{2} l}{A Y}\)
3 \(U=\dfrac{F^{2} l}{2 A Y}\)
4 \(U=\dfrac{F^{2} l}{6 A Y}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369901 A uniform wire of length \(4{\rm{ }}m\) and area of cross-section \(2\;m{m^2}\) is subjected to longitudinal force produced an elongation of \(1\;mm\) If \(Y = 0.2 \times {10^{11}}N{m^{ - 2}}\), elastic potential energy stored in the body is

1 \(0.5\;J\)
2 \(0.05\;J\)
3 \(0.005\;J\)
4 \(5.0\;J\)