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

369902 Two wires of the same meaterial (Young's modulus = Y) and same length \({\text{ }}L\) but radii \(R\) and \(2R\) respectively are joined end to end and a weight w is suspended from the combination as shown in figure. The elastic potential energy in the system is
supporting img

1 \(\frac{{3{w^2}L}}{{4\pi {R^2}Y}}\)
2 \(\frac{{3{w^2}L}}{{8\pi {R^2}Y}}\)
3 \(\frac{{5{w^2}L}}{{8\pi {R^2}Y}}\)
4 \(\frac{{{w^2}L}}{{\pi {R^2}Y}}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369903 If a pressure ' \(p\) ' is applied normal to a wire of Young's modulus \(Y\), the energy stored per unit volume is:

1 \(\dfrac{1}{2} p^{2} Y\)
2 \(\dfrac{1}{2} p^{2} / Y\)
3 \(\dfrac{1}{2} p Y^{2}\)
4 \(\dfrac{1}{2} p Y\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369904 When a load of \(5\;kg\) is hung on a wire then extension of 3 meter takes place, then work done will be :

1 \(75\;J\)
2 \(60\;J\)
3 \(50\;J\)
4 \(100\;J\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369905 A wire of initial length \(L\) and radius \(r\) is stretched by a length \(x\). Another wire of same material but with initial length \(2L\,{\text{and}}\,2r\) is stretched by a length \(2x\). The ratio of the stored elastic energy per unit volume in the first and second wire is

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

369906 If the tension on a wire is removed at once, then

1 it will break
2 its temperature will reduce
3 there will be no change in its temperature
4 its temperature increases
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369902 Two wires of the same meaterial (Young's modulus = Y) and same length \({\text{ }}L\) but radii \(R\) and \(2R\) respectively are joined end to end and a weight w is suspended from the combination as shown in figure. The elastic potential energy in the system is
supporting img

1 \(\frac{{3{w^2}L}}{{4\pi {R^2}Y}}\)
2 \(\frac{{3{w^2}L}}{{8\pi {R^2}Y}}\)
3 \(\frac{{5{w^2}L}}{{8\pi {R^2}Y}}\)
4 \(\frac{{{w^2}L}}{{\pi {R^2}Y}}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369903 If a pressure ' \(p\) ' is applied normal to a wire of Young's modulus \(Y\), the energy stored per unit volume is:

1 \(\dfrac{1}{2} p^{2} Y\)
2 \(\dfrac{1}{2} p^{2} / Y\)
3 \(\dfrac{1}{2} p Y^{2}\)
4 \(\dfrac{1}{2} p Y\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369904 When a load of \(5\;kg\) is hung on a wire then extension of 3 meter takes place, then work done will be :

1 \(75\;J\)
2 \(60\;J\)
3 \(50\;J\)
4 \(100\;J\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369905 A wire of initial length \(L\) and radius \(r\) is stretched by a length \(x\). Another wire of same material but with initial length \(2L\,{\text{and}}\,2r\) is stretched by a length \(2x\). The ratio of the stored elastic energy per unit volume in the first and second wire is

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

369906 If the tension on a wire is removed at once, then

1 it will break
2 its temperature will reduce
3 there will be no change in its temperature
4 its temperature increases
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369902 Two wires of the same meaterial (Young's modulus = Y) and same length \({\text{ }}L\) but radii \(R\) and \(2R\) respectively are joined end to end and a weight w is suspended from the combination as shown in figure. The elastic potential energy in the system is
supporting img

1 \(\frac{{3{w^2}L}}{{4\pi {R^2}Y}}\)
2 \(\frac{{3{w^2}L}}{{8\pi {R^2}Y}}\)
3 \(\frac{{5{w^2}L}}{{8\pi {R^2}Y}}\)
4 \(\frac{{{w^2}L}}{{\pi {R^2}Y}}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369903 If a pressure ' \(p\) ' is applied normal to a wire of Young's modulus \(Y\), the energy stored per unit volume is:

1 \(\dfrac{1}{2} p^{2} Y\)
2 \(\dfrac{1}{2} p^{2} / Y\)
3 \(\dfrac{1}{2} p Y^{2}\)
4 \(\dfrac{1}{2} p Y\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369904 When a load of \(5\;kg\) is hung on a wire then extension of 3 meter takes place, then work done will be :

1 \(75\;J\)
2 \(60\;J\)
3 \(50\;J\)
4 \(100\;J\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369905 A wire of initial length \(L\) and radius \(r\) is stretched by a length \(x\). Another wire of same material but with initial length \(2L\,{\text{and}}\,2r\) is stretched by a length \(2x\). The ratio of the stored elastic energy per unit volume in the first and second wire is

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

369906 If the tension on a wire is removed at once, then

1 it will break
2 its temperature will reduce
3 there will be no change in its temperature
4 its temperature increases
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369902 Two wires of the same meaterial (Young's modulus = Y) and same length \({\text{ }}L\) but radii \(R\) and \(2R\) respectively are joined end to end and a weight w is suspended from the combination as shown in figure. The elastic potential energy in the system is
supporting img

1 \(\frac{{3{w^2}L}}{{4\pi {R^2}Y}}\)
2 \(\frac{{3{w^2}L}}{{8\pi {R^2}Y}}\)
3 \(\frac{{5{w^2}L}}{{8\pi {R^2}Y}}\)
4 \(\frac{{{w^2}L}}{{\pi {R^2}Y}}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369903 If a pressure ' \(p\) ' is applied normal to a wire of Young's modulus \(Y\), the energy stored per unit volume is:

1 \(\dfrac{1}{2} p^{2} Y\)
2 \(\dfrac{1}{2} p^{2} / Y\)
3 \(\dfrac{1}{2} p Y^{2}\)
4 \(\dfrac{1}{2} p Y\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369904 When a load of \(5\;kg\) is hung on a wire then extension of 3 meter takes place, then work done will be :

1 \(75\;J\)
2 \(60\;J\)
3 \(50\;J\)
4 \(100\;J\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369905 A wire of initial length \(L\) and radius \(r\) is stretched by a length \(x\). Another wire of same material but with initial length \(2L\,{\text{and}}\,2r\) is stretched by a length \(2x\). The ratio of the stored elastic energy per unit volume in the first and second wire is

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

369906 If the tension on a wire is removed at once, then

1 it will break
2 its temperature will reduce
3 there will be no change in its temperature
4 its temperature increases
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369902 Two wires of the same meaterial (Young's modulus = Y) and same length \({\text{ }}L\) but radii \(R\) and \(2R\) respectively are joined end to end and a weight w is suspended from the combination as shown in figure. The elastic potential energy in the system is
supporting img

1 \(\frac{{3{w^2}L}}{{4\pi {R^2}Y}}\)
2 \(\frac{{3{w^2}L}}{{8\pi {R^2}Y}}\)
3 \(\frac{{5{w^2}L}}{{8\pi {R^2}Y}}\)
4 \(\frac{{{w^2}L}}{{\pi {R^2}Y}}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369903 If a pressure ' \(p\) ' is applied normal to a wire of Young's modulus \(Y\), the energy stored per unit volume is:

1 \(\dfrac{1}{2} p^{2} Y\)
2 \(\dfrac{1}{2} p^{2} / Y\)
3 \(\dfrac{1}{2} p Y^{2}\)
4 \(\dfrac{1}{2} p Y\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369904 When a load of \(5\;kg\) is hung on a wire then extension of 3 meter takes place, then work done will be :

1 \(75\;J\)
2 \(60\;J\)
3 \(50\;J\)
4 \(100\;J\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369905 A wire of initial length \(L\) and radius \(r\) is stretched by a length \(x\). Another wire of same material but with initial length \(2L\,{\text{and}}\,2r\) is stretched by a length \(2x\). The ratio of the stored elastic energy per unit volume in the first and second wire is

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

369906 If the tension on a wire is removed at once, then

1 it will break
2 its temperature will reduce
3 there will be no change in its temperature
4 its temperature increases