Elastic Moduli
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369878 A wire of length \(2 L\) and radius \(r\) is stretched between \(A\) and \(B\). If \(Y\) is the Young's modulus of the wire and it is stretched like \(ACB\), then the tension in the wire will be \((d < < 2 L)\)
supporting img

1 \(\dfrac{\pi r^{2} Y d^{3}}{2 L^{2}}\)
2 \(\dfrac{\pi r^{2} Y d^{2}}{2 L^{2}}\)
3 \(\dfrac{\pi r^{2} Y .2 L^{2}}{d^{2}}\)
4 \(\dfrac{\pi r^{2} Y .2 L}{d}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369879 Young's moduli of the material of wires \(A\) and \(B\) are in the ratio of \(1: 4\), while its area of cross sections are in the ratio of \(1: 3\). If the same amount of load is applied to both the wires, the amount of elongation produced in the wires \(A\) and \(B\) will be in the ratio of [Assume length of wires \(A\) and \(B\) are same]

1 \(12: 1\)
2 \(1: 36\)
3 \(36: 1\)
4 \(1: 12\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369880 A light rod of length \(2\;m\) is suspended from the ceiling horizontally by means of two vertical wires of equal length tied to its end. One of the wires is made of steel of cross-section \(0.1\;c{m^2}\). The other wire is of brass of cross-section \(0.2\;c{m^2}\). A weight is suspended from a certain point of the rod such that equal stresses are produced in both the wires. The rod remians horizontal in this case also. Find out the position of the load from the steel wire.

1 \(\dfrac{3}{4} m\)
2 \(\dfrac{4}{3} m\)
3 \(\dfrac{3}{2} m\)
4 \(\dfrac{2}{3} m\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369881 Two wires \(A\) and \(B\) are stretched by the same load. If the area of cross-section of wire \(A\) is double that of \(B\), then the stress on \(B\) is

1 Equal to that on \(A\)
2 Twice that on \(A\)
3 Half that on \(A\)
4 Four times that on \(A\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369882 The maximum elongation of a steel wire of \(1\,m\) length if the elastic limit of steel and its Young's modulus, respectively, are \({8 \times 10^{8} {Nm}^{-2}}\) and \({2 \times 10^{11} {Nm}^{-2}}\), is:

1 \(4\,mm\)
2 \(0.4\,mm\)
3 \(40\,mm\)
4 \(8\,mm\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369878 A wire of length \(2 L\) and radius \(r\) is stretched between \(A\) and \(B\). If \(Y\) is the Young's modulus of the wire and it is stretched like \(ACB\), then the tension in the wire will be \((d < < 2 L)\)
supporting img

1 \(\dfrac{\pi r^{2} Y d^{3}}{2 L^{2}}\)
2 \(\dfrac{\pi r^{2} Y d^{2}}{2 L^{2}}\)
3 \(\dfrac{\pi r^{2} Y .2 L^{2}}{d^{2}}\)
4 \(\dfrac{\pi r^{2} Y .2 L}{d}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369879 Young's moduli of the material of wires \(A\) and \(B\) are in the ratio of \(1: 4\), while its area of cross sections are in the ratio of \(1: 3\). If the same amount of load is applied to both the wires, the amount of elongation produced in the wires \(A\) and \(B\) will be in the ratio of [Assume length of wires \(A\) and \(B\) are same]

1 \(12: 1\)
2 \(1: 36\)
3 \(36: 1\)
4 \(1: 12\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369880 A light rod of length \(2\;m\) is suspended from the ceiling horizontally by means of two vertical wires of equal length tied to its end. One of the wires is made of steel of cross-section \(0.1\;c{m^2}\). The other wire is of brass of cross-section \(0.2\;c{m^2}\). A weight is suspended from a certain point of the rod such that equal stresses are produced in both the wires. The rod remians horizontal in this case also. Find out the position of the load from the steel wire.

1 \(\dfrac{3}{4} m\)
2 \(\dfrac{4}{3} m\)
3 \(\dfrac{3}{2} m\)
4 \(\dfrac{2}{3} m\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369881 Two wires \(A\) and \(B\) are stretched by the same load. If the area of cross-section of wire \(A\) is double that of \(B\), then the stress on \(B\) is

1 Equal to that on \(A\)
2 Twice that on \(A\)
3 Half that on \(A\)
4 Four times that on \(A\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369882 The maximum elongation of a steel wire of \(1\,m\) length if the elastic limit of steel and its Young's modulus, respectively, are \({8 \times 10^{8} {Nm}^{-2}}\) and \({2 \times 10^{11} {Nm}^{-2}}\), is:

1 \(4\,mm\)
2 \(0.4\,mm\)
3 \(40\,mm\)
4 \(8\,mm\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369878 A wire of length \(2 L\) and radius \(r\) is stretched between \(A\) and \(B\). If \(Y\) is the Young's modulus of the wire and it is stretched like \(ACB\), then the tension in the wire will be \((d < < 2 L)\)
supporting img

1 \(\dfrac{\pi r^{2} Y d^{3}}{2 L^{2}}\)
2 \(\dfrac{\pi r^{2} Y d^{2}}{2 L^{2}}\)
3 \(\dfrac{\pi r^{2} Y .2 L^{2}}{d^{2}}\)
4 \(\dfrac{\pi r^{2} Y .2 L}{d}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369879 Young's moduli of the material of wires \(A\) and \(B\) are in the ratio of \(1: 4\), while its area of cross sections are in the ratio of \(1: 3\). If the same amount of load is applied to both the wires, the amount of elongation produced in the wires \(A\) and \(B\) will be in the ratio of [Assume length of wires \(A\) and \(B\) are same]

1 \(12: 1\)
2 \(1: 36\)
3 \(36: 1\)
4 \(1: 12\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369880 A light rod of length \(2\;m\) is suspended from the ceiling horizontally by means of two vertical wires of equal length tied to its end. One of the wires is made of steel of cross-section \(0.1\;c{m^2}\). The other wire is of brass of cross-section \(0.2\;c{m^2}\). A weight is suspended from a certain point of the rod such that equal stresses are produced in both the wires. The rod remians horizontal in this case also. Find out the position of the load from the steel wire.

1 \(\dfrac{3}{4} m\)
2 \(\dfrac{4}{3} m\)
3 \(\dfrac{3}{2} m\)
4 \(\dfrac{2}{3} m\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369881 Two wires \(A\) and \(B\) are stretched by the same load. If the area of cross-section of wire \(A\) is double that of \(B\), then the stress on \(B\) is

1 Equal to that on \(A\)
2 Twice that on \(A\)
3 Half that on \(A\)
4 Four times that on \(A\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369882 The maximum elongation of a steel wire of \(1\,m\) length if the elastic limit of steel and its Young's modulus, respectively, are \({8 \times 10^{8} {Nm}^{-2}}\) and \({2 \times 10^{11} {Nm}^{-2}}\), is:

1 \(4\,mm\)
2 \(0.4\,mm\)
3 \(40\,mm\)
4 \(8\,mm\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369878 A wire of length \(2 L\) and radius \(r\) is stretched between \(A\) and \(B\). If \(Y\) is the Young's modulus of the wire and it is stretched like \(ACB\), then the tension in the wire will be \((d < < 2 L)\)
supporting img

1 \(\dfrac{\pi r^{2} Y d^{3}}{2 L^{2}}\)
2 \(\dfrac{\pi r^{2} Y d^{2}}{2 L^{2}}\)
3 \(\dfrac{\pi r^{2} Y .2 L^{2}}{d^{2}}\)
4 \(\dfrac{\pi r^{2} Y .2 L}{d}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369879 Young's moduli of the material of wires \(A\) and \(B\) are in the ratio of \(1: 4\), while its area of cross sections are in the ratio of \(1: 3\). If the same amount of load is applied to both the wires, the amount of elongation produced in the wires \(A\) and \(B\) will be in the ratio of [Assume length of wires \(A\) and \(B\) are same]

1 \(12: 1\)
2 \(1: 36\)
3 \(36: 1\)
4 \(1: 12\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369880 A light rod of length \(2\;m\) is suspended from the ceiling horizontally by means of two vertical wires of equal length tied to its end. One of the wires is made of steel of cross-section \(0.1\;c{m^2}\). The other wire is of brass of cross-section \(0.2\;c{m^2}\). A weight is suspended from a certain point of the rod such that equal stresses are produced in both the wires. The rod remians horizontal in this case also. Find out the position of the load from the steel wire.

1 \(\dfrac{3}{4} m\)
2 \(\dfrac{4}{3} m\)
3 \(\dfrac{3}{2} m\)
4 \(\dfrac{2}{3} m\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369881 Two wires \(A\) and \(B\) are stretched by the same load. If the area of cross-section of wire \(A\) is double that of \(B\), then the stress on \(B\) is

1 Equal to that on \(A\)
2 Twice that on \(A\)
3 Half that on \(A\)
4 Four times that on \(A\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369882 The maximum elongation of a steel wire of \(1\,m\) length if the elastic limit of steel and its Young's modulus, respectively, are \({8 \times 10^{8} {Nm}^{-2}}\) and \({2 \times 10^{11} {Nm}^{-2}}\), is:

1 \(4\,mm\)
2 \(0.4\,mm\)
3 \(40\,mm\)
4 \(8\,mm\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369878 A wire of length \(2 L\) and radius \(r\) is stretched between \(A\) and \(B\). If \(Y\) is the Young's modulus of the wire and it is stretched like \(ACB\), then the tension in the wire will be \((d < < 2 L)\)
supporting img

1 \(\dfrac{\pi r^{2} Y d^{3}}{2 L^{2}}\)
2 \(\dfrac{\pi r^{2} Y d^{2}}{2 L^{2}}\)
3 \(\dfrac{\pi r^{2} Y .2 L^{2}}{d^{2}}\)
4 \(\dfrac{\pi r^{2} Y .2 L}{d}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369879 Young's moduli of the material of wires \(A\) and \(B\) are in the ratio of \(1: 4\), while its area of cross sections are in the ratio of \(1: 3\). If the same amount of load is applied to both the wires, the amount of elongation produced in the wires \(A\) and \(B\) will be in the ratio of [Assume length of wires \(A\) and \(B\) are same]

1 \(12: 1\)
2 \(1: 36\)
3 \(36: 1\)
4 \(1: 12\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369880 A light rod of length \(2\;m\) is suspended from the ceiling horizontally by means of two vertical wires of equal length tied to its end. One of the wires is made of steel of cross-section \(0.1\;c{m^2}\). The other wire is of brass of cross-section \(0.2\;c{m^2}\). A weight is suspended from a certain point of the rod such that equal stresses are produced in both the wires. The rod remians horizontal in this case also. Find out the position of the load from the steel wire.

1 \(\dfrac{3}{4} m\)
2 \(\dfrac{4}{3} m\)
3 \(\dfrac{3}{2} m\)
4 \(\dfrac{2}{3} m\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369881 Two wires \(A\) and \(B\) are stretched by the same load. If the area of cross-section of wire \(A\) is double that of \(B\), then the stress on \(B\) is

1 Equal to that on \(A\)
2 Twice that on \(A\)
3 Half that on \(A\)
4 Four times that on \(A\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369882 The maximum elongation of a steel wire of \(1\,m\) length if the elastic limit of steel and its Young's modulus, respectively, are \({8 \times 10^{8} {Nm}^{-2}}\) and \({2 \times 10^{11} {Nm}^{-2}}\), is:

1 \(4\,mm\)
2 \(0.4\,mm\)
3 \(40\,mm\)
4 \(8\,mm\)