Breaking Stress and Breaking Strain
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369663 A substance breaks down under a stress of \({10^5}\;Pa\). If the density of the substance is \(2 \times {10^3}\;kg/{m^3}\), find the minimum length of the wire made of this substance which will break under its own weight \(\left( {g = 10\;m/{s^2}} \right)\)

1 \(4\;m\)
2 \(2.5\;m\)
3 \(10\;m\)
4 \(5\;m\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369664 Assuming that stress at the base of a mountain is equal to the force per unit area due to its weight. Calculate the maximum possible height of a mountain on the earth if breaking stress of a typical rock is \(3 \times {10^8}\,N{m^{ - 2}}\) and its density is \(3 \times {10^3}kg{m^{ - 2}}.(Take\,g = 10\;m{s^{ - 2}}\) )

1 \(8\;km\)
2 \(4\;\,km\)
3 \(16\;\,k\)
4 \(10\;m\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369665 A cable that can support a load of \(800\;N\) is cut into two equal parts. The maximum load that can be supported by either part is

1 \(400\;\,{\text{N}}\)
2 \(100\,\;N\)
3 \(1600\;\,N\)
4 \(800\;\,N\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369666 A rope of 1\(cm\) in diameter breaks if tension in it exceeds \(500N\). The maximum tension that may be given to a similar rope of diameter 2 \(cm\) is

1 \(2000N\)
2 \(1000N\)
3 \(500N\)
4 \(250N\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369667 Two bodies of masses \(1\;kg\) and \(2\;kg\) are connected by a metal wire shown in figure. A force of \(10\;N\) is applied on the body of mass \(2\;kg\). The breaking stress of metal wire is \(2 \times {10^9}\;N{\rm{/}}{m^2}\). What should be minimum radius of the wire used, if it is not to break?
supporting img

1 \(0.23 \times {10^{ - 4}}\;m\)
2 \(4 \times {10^{ - 4}}\;m\)
3 \(5 \times {10^{ - 4}}\;m\)
4 \(5.2 \times {10^{ - 4}}\;m\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369663 A substance breaks down under a stress of \({10^5}\;Pa\). If the density of the substance is \(2 \times {10^3}\;kg/{m^3}\), find the minimum length of the wire made of this substance which will break under its own weight \(\left( {g = 10\;m/{s^2}} \right)\)

1 \(4\;m\)
2 \(2.5\;m\)
3 \(10\;m\)
4 \(5\;m\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369664 Assuming that stress at the base of a mountain is equal to the force per unit area due to its weight. Calculate the maximum possible height of a mountain on the earth if breaking stress of a typical rock is \(3 \times {10^8}\,N{m^{ - 2}}\) and its density is \(3 \times {10^3}kg{m^{ - 2}}.(Take\,g = 10\;m{s^{ - 2}}\) )

1 \(8\;km\)
2 \(4\;\,km\)
3 \(16\;\,k\)
4 \(10\;m\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369665 A cable that can support a load of \(800\;N\) is cut into two equal parts. The maximum load that can be supported by either part is

1 \(400\;\,{\text{N}}\)
2 \(100\,\;N\)
3 \(1600\;\,N\)
4 \(800\;\,N\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369666 A rope of 1\(cm\) in diameter breaks if tension in it exceeds \(500N\). The maximum tension that may be given to a similar rope of diameter 2 \(cm\) is

1 \(2000N\)
2 \(1000N\)
3 \(500N\)
4 \(250N\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369667 Two bodies of masses \(1\;kg\) and \(2\;kg\) are connected by a metal wire shown in figure. A force of \(10\;N\) is applied on the body of mass \(2\;kg\). The breaking stress of metal wire is \(2 \times {10^9}\;N{\rm{/}}{m^2}\). What should be minimum radius of the wire used, if it is not to break?
supporting img

1 \(0.23 \times {10^{ - 4}}\;m\)
2 \(4 \times {10^{ - 4}}\;m\)
3 \(5 \times {10^{ - 4}}\;m\)
4 \(5.2 \times {10^{ - 4}}\;m\)
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369663 A substance breaks down under a stress of \({10^5}\;Pa\). If the density of the substance is \(2 \times {10^3}\;kg/{m^3}\), find the minimum length of the wire made of this substance which will break under its own weight \(\left( {g = 10\;m/{s^2}} \right)\)

1 \(4\;m\)
2 \(2.5\;m\)
3 \(10\;m\)
4 \(5\;m\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369664 Assuming that stress at the base of a mountain is equal to the force per unit area due to its weight. Calculate the maximum possible height of a mountain on the earth if breaking stress of a typical rock is \(3 \times {10^8}\,N{m^{ - 2}}\) and its density is \(3 \times {10^3}kg{m^{ - 2}}.(Take\,g = 10\;m{s^{ - 2}}\) )

1 \(8\;km\)
2 \(4\;\,km\)
3 \(16\;\,k\)
4 \(10\;m\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369665 A cable that can support a load of \(800\;N\) is cut into two equal parts. The maximum load that can be supported by either part is

1 \(400\;\,{\text{N}}\)
2 \(100\,\;N\)
3 \(1600\;\,N\)
4 \(800\;\,N\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369666 A rope of 1\(cm\) in diameter breaks if tension in it exceeds \(500N\). The maximum tension that may be given to a similar rope of diameter 2 \(cm\) is

1 \(2000N\)
2 \(1000N\)
3 \(500N\)
4 \(250N\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369667 Two bodies of masses \(1\;kg\) and \(2\;kg\) are connected by a metal wire shown in figure. A force of \(10\;N\) is applied on the body of mass \(2\;kg\). The breaking stress of metal wire is \(2 \times {10^9}\;N{\rm{/}}{m^2}\). What should be minimum radius of the wire used, if it is not to break?
supporting img

1 \(0.23 \times {10^{ - 4}}\;m\)
2 \(4 \times {10^{ - 4}}\;m\)
3 \(5 \times {10^{ - 4}}\;m\)
4 \(5.2 \times {10^{ - 4}}\;m\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369663 A substance breaks down under a stress of \({10^5}\;Pa\). If the density of the substance is \(2 \times {10^3}\;kg/{m^3}\), find the minimum length of the wire made of this substance which will break under its own weight \(\left( {g = 10\;m/{s^2}} \right)\)

1 \(4\;m\)
2 \(2.5\;m\)
3 \(10\;m\)
4 \(5\;m\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369664 Assuming that stress at the base of a mountain is equal to the force per unit area due to its weight. Calculate the maximum possible height of a mountain on the earth if breaking stress of a typical rock is \(3 \times {10^8}\,N{m^{ - 2}}\) and its density is \(3 \times {10^3}kg{m^{ - 2}}.(Take\,g = 10\;m{s^{ - 2}}\) )

1 \(8\;km\)
2 \(4\;\,km\)
3 \(16\;\,k\)
4 \(10\;m\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369665 A cable that can support a load of \(800\;N\) is cut into two equal parts. The maximum load that can be supported by either part is

1 \(400\;\,{\text{N}}\)
2 \(100\,\;N\)
3 \(1600\;\,N\)
4 \(800\;\,N\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369666 A rope of 1\(cm\) in diameter breaks if tension in it exceeds \(500N\). The maximum tension that may be given to a similar rope of diameter 2 \(cm\) is

1 \(2000N\)
2 \(1000N\)
3 \(500N\)
4 \(250N\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369667 Two bodies of masses \(1\;kg\) and \(2\;kg\) are connected by a metal wire shown in figure. A force of \(10\;N\) is applied on the body of mass \(2\;kg\). The breaking stress of metal wire is \(2 \times {10^9}\;N{\rm{/}}{m^2}\). What should be minimum radius of the wire used, if it is not to break?
supporting img

1 \(0.23 \times {10^{ - 4}}\;m\)
2 \(4 \times {10^{ - 4}}\;m\)
3 \(5 \times {10^{ - 4}}\;m\)
4 \(5.2 \times {10^{ - 4}}\;m\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369663 A substance breaks down under a stress of \({10^5}\;Pa\). If the density of the substance is \(2 \times {10^3}\;kg/{m^3}\), find the minimum length of the wire made of this substance which will break under its own weight \(\left( {g = 10\;m/{s^2}} \right)\)

1 \(4\;m\)
2 \(2.5\;m\)
3 \(10\;m\)
4 \(5\;m\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369664 Assuming that stress at the base of a mountain is equal to the force per unit area due to its weight. Calculate the maximum possible height of a mountain on the earth if breaking stress of a typical rock is \(3 \times {10^8}\,N{m^{ - 2}}\) and its density is \(3 \times {10^3}kg{m^{ - 2}}.(Take\,g = 10\;m{s^{ - 2}}\) )

1 \(8\;km\)
2 \(4\;\,km\)
3 \(16\;\,k\)
4 \(10\;m\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369665 A cable that can support a load of \(800\;N\) is cut into two equal parts. The maximum load that can be supported by either part is

1 \(400\;\,{\text{N}}\)
2 \(100\,\;N\)
3 \(1600\;\,N\)
4 \(800\;\,N\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369666 A rope of 1\(cm\) in diameter breaks if tension in it exceeds \(500N\). The maximum tension that may be given to a similar rope of diameter 2 \(cm\) is

1 \(2000N\)
2 \(1000N\)
3 \(500N\)
4 \(250N\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369667 Two bodies of masses \(1\;kg\) and \(2\;kg\) are connected by a metal wire shown in figure. A force of \(10\;N\) is applied on the body of mass \(2\;kg\). The breaking stress of metal wire is \(2 \times {10^9}\;N{\rm{/}}{m^2}\). What should be minimum radius of the wire used, if it is not to break?
supporting img

1 \(0.23 \times {10^{ - 4}}\;m\)
2 \(4 \times {10^{ - 4}}\;m\)
3 \(5 \times {10^{ - 4}}\;m\)
4 \(5.2 \times {10^{ - 4}}\;m\)