369840
The Young's modulus of the material of the wire of length \(L\) and radius \(r\) is \(Y\,N{m^{ - 2}}.\) If the length is reduced to \(L / 2\) and radius \(r / 2\), the Young's modulus will be
1 \(Y / 2\)
2 \(Y\)
3 \(2 Y\)
4 \(4 Y\)
Explanation:
Young's modulus depends upon the nature of material and is independent of the dimensions of the material. Hence, it is constant for a material, so it will remain same.
PHXI09:MECHANICAL PROPERTIES OF SOLIDS
369841
Which of the following substances has the highest elasticity.
1 Sponge
2 Steel
3 Rubber
4 Copper
Explanation:
Greater the value of Young's modulus of a substance, higher is the elasticity. Out of the given substances, steel has greater value of Young's modulus.
MHTCET - 2010
PHXI09:MECHANICAL PROPERTIES OF SOLIDS
369842
Four wires made of same material are stretched by the same load. Their dimensions are given below. The one which elongates more is
1 Wire of length \(1\;m\) and diameter \(1\;mm\)
2 Length \(2\,m\), diameter \(2\;mm\)
3 Length \(3\,m\), diameter \(3\,mm\)
4 Length \(0.5\,m\), diameter \(0.5\,mm\)
Explanation:
\(\Delta \ell \propto \dfrac{\ell}{r^{2}} \Rightarrow \dfrac{\ell}{r^{2}}\) is maximum in option 4 .
PHXI09:MECHANICAL PROPERTIES OF SOLIDS
369843
If the ratio of lengths, radii and Young's modulii of steel and brass wires in the figure are \(a, \mathrm{~b}\), and \(\mathrm{c}\) respectively, then the corresponding ratio of increase in their lengths is:
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PHXI09:MECHANICAL PROPERTIES OF SOLIDS
369840
The Young's modulus of the material of the wire of length \(L\) and radius \(r\) is \(Y\,N{m^{ - 2}}.\) If the length is reduced to \(L / 2\) and radius \(r / 2\), the Young's modulus will be
1 \(Y / 2\)
2 \(Y\)
3 \(2 Y\)
4 \(4 Y\)
Explanation:
Young's modulus depends upon the nature of material and is independent of the dimensions of the material. Hence, it is constant for a material, so it will remain same.
PHXI09:MECHANICAL PROPERTIES OF SOLIDS
369841
Which of the following substances has the highest elasticity.
1 Sponge
2 Steel
3 Rubber
4 Copper
Explanation:
Greater the value of Young's modulus of a substance, higher is the elasticity. Out of the given substances, steel has greater value of Young's modulus.
MHTCET - 2010
PHXI09:MECHANICAL PROPERTIES OF SOLIDS
369842
Four wires made of same material are stretched by the same load. Their dimensions are given below. The one which elongates more is
1 Wire of length \(1\;m\) and diameter \(1\;mm\)
2 Length \(2\,m\), diameter \(2\;mm\)
3 Length \(3\,m\), diameter \(3\,mm\)
4 Length \(0.5\,m\), diameter \(0.5\,mm\)
Explanation:
\(\Delta \ell \propto \dfrac{\ell}{r^{2}} \Rightarrow \dfrac{\ell}{r^{2}}\) is maximum in option 4 .
PHXI09:MECHANICAL PROPERTIES OF SOLIDS
369843
If the ratio of lengths, radii and Young's modulii of steel and brass wires in the figure are \(a, \mathrm{~b}\), and \(\mathrm{c}\) respectively, then the corresponding ratio of increase in their lengths is:
369840
The Young's modulus of the material of the wire of length \(L\) and radius \(r\) is \(Y\,N{m^{ - 2}}.\) If the length is reduced to \(L / 2\) and radius \(r / 2\), the Young's modulus will be
1 \(Y / 2\)
2 \(Y\)
3 \(2 Y\)
4 \(4 Y\)
Explanation:
Young's modulus depends upon the nature of material and is independent of the dimensions of the material. Hence, it is constant for a material, so it will remain same.
PHXI09:MECHANICAL PROPERTIES OF SOLIDS
369841
Which of the following substances has the highest elasticity.
1 Sponge
2 Steel
3 Rubber
4 Copper
Explanation:
Greater the value of Young's modulus of a substance, higher is the elasticity. Out of the given substances, steel has greater value of Young's modulus.
MHTCET - 2010
PHXI09:MECHANICAL PROPERTIES OF SOLIDS
369842
Four wires made of same material are stretched by the same load. Their dimensions are given below. The one which elongates more is
1 Wire of length \(1\;m\) and diameter \(1\;mm\)
2 Length \(2\,m\), diameter \(2\;mm\)
3 Length \(3\,m\), diameter \(3\,mm\)
4 Length \(0.5\,m\), diameter \(0.5\,mm\)
Explanation:
\(\Delta \ell \propto \dfrac{\ell}{r^{2}} \Rightarrow \dfrac{\ell}{r^{2}}\) is maximum in option 4 .
PHXI09:MECHANICAL PROPERTIES OF SOLIDS
369843
If the ratio of lengths, radii and Young's modulii of steel and brass wires in the figure are \(a, \mathrm{~b}\), and \(\mathrm{c}\) respectively, then the corresponding ratio of increase in their lengths is:
369840
The Young's modulus of the material of the wire of length \(L\) and radius \(r\) is \(Y\,N{m^{ - 2}}.\) If the length is reduced to \(L / 2\) and radius \(r / 2\), the Young's modulus will be
1 \(Y / 2\)
2 \(Y\)
3 \(2 Y\)
4 \(4 Y\)
Explanation:
Young's modulus depends upon the nature of material and is independent of the dimensions of the material. Hence, it is constant for a material, so it will remain same.
PHXI09:MECHANICAL PROPERTIES OF SOLIDS
369841
Which of the following substances has the highest elasticity.
1 Sponge
2 Steel
3 Rubber
4 Copper
Explanation:
Greater the value of Young's modulus of a substance, higher is the elasticity. Out of the given substances, steel has greater value of Young's modulus.
MHTCET - 2010
PHXI09:MECHANICAL PROPERTIES OF SOLIDS
369842
Four wires made of same material are stretched by the same load. Their dimensions are given below. The one which elongates more is
1 Wire of length \(1\;m\) and diameter \(1\;mm\)
2 Length \(2\,m\), diameter \(2\;mm\)
3 Length \(3\,m\), diameter \(3\,mm\)
4 Length \(0.5\,m\), diameter \(0.5\,mm\)
Explanation:
\(\Delta \ell \propto \dfrac{\ell}{r^{2}} \Rightarrow \dfrac{\ell}{r^{2}}\) is maximum in option 4 .
PHXI09:MECHANICAL PROPERTIES OF SOLIDS
369843
If the ratio of lengths, radii and Young's modulii of steel and brass wires in the figure are \(a, \mathrm{~b}\), and \(\mathrm{c}\) respectively, then the corresponding ratio of increase in their lengths is:
