Elastic Moduli
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369831 A load of \(4.0\;kg\) is suspended from a ceiling through a steel wire of length \(20\;m\) and radius \(2.0\;mm\) It is found that the length of the wire increases by \(0.031\;mm\) as equilibrium is achieved. If \(g = 3.1\pi m{s^{ - 2}}\), the value of young's modulus in \(N . \mathrm{m}^{-2}\) is

1 \(2.0 \times 10^{12}\)
2 \(4.0 \times 10^{11}\)
3 \(2.0 \times 10^{11}\)
4 \(0.02 \times 10^{9}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369832 A steel wire of length \(4.7\;m\) and cross-sectional area \(3.0 \times {10^{ - 5}}\;{m^2}\) stretches by the same amount as a copper wire of length \(3.5\;m\) and crosssectional area \(4.0 \times {10^{ - 5}}\;{m^2}\) under given load. The ratio of the Young's modulus of steel to that of copper is

1 1.2
2 1.8
3 1.5
4 1.19
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369833 How much force is required to produce an increase of \(0.2 \%\) in the length of a brass wire of diameter \(0.6\,\;mm\).
(Young's modulus for brass \( = 0.9 \times {10^{11}}\;\,N/{m^2}\) )

1 Nearly \(17\;\,N\)
2 Nearly \(34\;\,N\)
3 Nearly \(51\;\,N\)
4 Nearly \(68\;\,N\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369834 Four wires \(P, Q, R\) and \(S\) of same materials have diameters and stretching forces as shown below. Arrange their strains in the decreasing order.
supporting img

1 \(Q, S, P, R\)
2 \(R, P, S, Q\)
3 \(P, Q, R, S\)
4 \(P, R, Q, S\)
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PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369831 A load of \(4.0\;kg\) is suspended from a ceiling through a steel wire of length \(20\;m\) and radius \(2.0\;mm\) It is found that the length of the wire increases by \(0.031\;mm\) as equilibrium is achieved. If \(g = 3.1\pi m{s^{ - 2}}\), the value of young's modulus in \(N . \mathrm{m}^{-2}\) is

1 \(2.0 \times 10^{12}\)
2 \(4.0 \times 10^{11}\)
3 \(2.0 \times 10^{11}\)
4 \(0.02 \times 10^{9}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369832 A steel wire of length \(4.7\;m\) and cross-sectional area \(3.0 \times {10^{ - 5}}\;{m^2}\) stretches by the same amount as a copper wire of length \(3.5\;m\) and crosssectional area \(4.0 \times {10^{ - 5}}\;{m^2}\) under given load. The ratio of the Young's modulus of steel to that of copper is

1 1.2
2 1.8
3 1.5
4 1.19
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369833 How much force is required to produce an increase of \(0.2 \%\) in the length of a brass wire of diameter \(0.6\,\;mm\).
(Young's modulus for brass \( = 0.9 \times {10^{11}}\;\,N/{m^2}\) )

1 Nearly \(17\;\,N\)
2 Nearly \(34\;\,N\)
3 Nearly \(51\;\,N\)
4 Nearly \(68\;\,N\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369834 Four wires \(P, Q, R\) and \(S\) of same materials have diameters and stretching forces as shown below. Arrange their strains in the decreasing order.
supporting img

1 \(Q, S, P, R\)
2 \(R, P, S, Q\)
3 \(P, Q, R, S\)
4 \(P, R, Q, S\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369831 A load of \(4.0\;kg\) is suspended from a ceiling through a steel wire of length \(20\;m\) and radius \(2.0\;mm\) It is found that the length of the wire increases by \(0.031\;mm\) as equilibrium is achieved. If \(g = 3.1\pi m{s^{ - 2}}\), the value of young's modulus in \(N . \mathrm{m}^{-2}\) is

1 \(2.0 \times 10^{12}\)
2 \(4.0 \times 10^{11}\)
3 \(2.0 \times 10^{11}\)
4 \(0.02 \times 10^{9}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369832 A steel wire of length \(4.7\;m\) and cross-sectional area \(3.0 \times {10^{ - 5}}\;{m^2}\) stretches by the same amount as a copper wire of length \(3.5\;m\) and crosssectional area \(4.0 \times {10^{ - 5}}\;{m^2}\) under given load. The ratio of the Young's modulus of steel to that of copper is

1 1.2
2 1.8
3 1.5
4 1.19
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369833 How much force is required to produce an increase of \(0.2 \%\) in the length of a brass wire of diameter \(0.6\,\;mm\).
(Young's modulus for brass \( = 0.9 \times {10^{11}}\;\,N/{m^2}\) )

1 Nearly \(17\;\,N\)
2 Nearly \(34\;\,N\)
3 Nearly \(51\;\,N\)
4 Nearly \(68\;\,N\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369834 Four wires \(P, Q, R\) and \(S\) of same materials have diameters and stretching forces as shown below. Arrange their strains in the decreasing order.
supporting img

1 \(Q, S, P, R\)
2 \(R, P, S, Q\)
3 \(P, Q, R, S\)
4 \(P, R, Q, S\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369831 A load of \(4.0\;kg\) is suspended from a ceiling through a steel wire of length \(20\;m\) and radius \(2.0\;mm\) It is found that the length of the wire increases by \(0.031\;mm\) as equilibrium is achieved. If \(g = 3.1\pi m{s^{ - 2}}\), the value of young's modulus in \(N . \mathrm{m}^{-2}\) is

1 \(2.0 \times 10^{12}\)
2 \(4.0 \times 10^{11}\)
3 \(2.0 \times 10^{11}\)
4 \(0.02 \times 10^{9}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369832 A steel wire of length \(4.7\;m\) and cross-sectional area \(3.0 \times {10^{ - 5}}\;{m^2}\) stretches by the same amount as a copper wire of length \(3.5\;m\) and crosssectional area \(4.0 \times {10^{ - 5}}\;{m^2}\) under given load. The ratio of the Young's modulus of steel to that of copper is

1 1.2
2 1.8
3 1.5
4 1.19
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369833 How much force is required to produce an increase of \(0.2 \%\) in the length of a brass wire of diameter \(0.6\,\;mm\).
(Young's modulus for brass \( = 0.9 \times {10^{11}}\;\,N/{m^2}\) )

1 Nearly \(17\;\,N\)
2 Nearly \(34\;\,N\)
3 Nearly \(51\;\,N\)
4 Nearly \(68\;\,N\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369834 Four wires \(P, Q, R\) and \(S\) of same materials have diameters and stretching forces as shown below. Arrange their strains in the decreasing order.
supporting img

1 \(Q, S, P, R\)
2 \(R, P, S, Q\)
3 \(P, Q, R, S\)
4 \(P, R, Q, S\)