Breaking Stress and Breaking Strain
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369650 A steel cable with a radius of \(1.5\;cm\) supports a chair lift at a ski area. If the maximum stress is not to exceed \({10^8}\;N/{m^2},\) what is the maximum load the cable can support?

1 \(7 \times 10^{5} \mathrm{~N}\)
2 \(7 \times 10^{6} \mathrm{~N}\)
3 \(7 \times 10^{4} \mathrm{~N}\)
4 \(9 \times 10^{5} \mathrm{~N}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369651 A massive stone pillar \(20\;m\) high and of uniform cross section rests on a rigid base and supports a vertical load of \(5.0 \times {10^5}\;N\) at its upper end. If the compressive stress in the pillar is not exceed \(1.6 \times {10^6}\;N/{m^2}\), what is the minimum crosssectional area of the pillar? (Density of the stone \( = 2.5 \times {10^3}\;kg/{m^3}\). Take \(g = 10\;N/kg)\)

1 \(0.15\;{m^2}\)
2 \(0.25\;{m^2}\)
3 \(0.35\;{m^2}\)
4 \(0.45\;{m^2}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369652 Maximum excess pressure inside a thin-walled steel tube of radius \(\mathrm{r}\) and thickness \(\Delta r( < < r)\), so that the tube would not rupture would be (breaking stress of steel is \({\sigma _{\max }}\) )

1 \(\sigma_{\max } \times \dfrac{r}{\Delta r}\)
2 \(\sigma_{\max } \times \dfrac{\Delta r}{r}\)
3 \(\sigma_{\max }\)
4 \(\sigma_{\max } \times \dfrac{\Delta 2 r}{r}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369653 When a force is applied on a wire of uniform cross-sectional area \(3 \times {10^{ - 6}}\;{m^2}\) and length \(4\;m\), the increase in length is \(1\;mm\). Energy stored in it will be \(\left( {Y = 2 \times {{10}^{11}}\;N{\rm{/}}{m^2}} \right)\)

1 \(6250\;\,J\)
2 \(0.177\;\,J\)
3 \(0.075\;\,J\)
4 \(0.150\;\,J\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369654 Assertion :
If length of a rod is doubled the breaking load remains unchanged.
Reason :
Breaking load is equal to the elastic limit.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369650 A steel cable with a radius of \(1.5\;cm\) supports a chair lift at a ski area. If the maximum stress is not to exceed \({10^8}\;N/{m^2},\) what is the maximum load the cable can support?

1 \(7 \times 10^{5} \mathrm{~N}\)
2 \(7 \times 10^{6} \mathrm{~N}\)
3 \(7 \times 10^{4} \mathrm{~N}\)
4 \(9 \times 10^{5} \mathrm{~N}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369651 A massive stone pillar \(20\;m\) high and of uniform cross section rests on a rigid base and supports a vertical load of \(5.0 \times {10^5}\;N\) at its upper end. If the compressive stress in the pillar is not exceed \(1.6 \times {10^6}\;N/{m^2}\), what is the minimum crosssectional area of the pillar? (Density of the stone \( = 2.5 \times {10^3}\;kg/{m^3}\). Take \(g = 10\;N/kg)\)

1 \(0.15\;{m^2}\)
2 \(0.25\;{m^2}\)
3 \(0.35\;{m^2}\)
4 \(0.45\;{m^2}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369652 Maximum excess pressure inside a thin-walled steel tube of radius \(\mathrm{r}\) and thickness \(\Delta r( < < r)\), so that the tube would not rupture would be (breaking stress of steel is \({\sigma _{\max }}\) )

1 \(\sigma_{\max } \times \dfrac{r}{\Delta r}\)
2 \(\sigma_{\max } \times \dfrac{\Delta r}{r}\)
3 \(\sigma_{\max }\)
4 \(\sigma_{\max } \times \dfrac{\Delta 2 r}{r}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369653 When a force is applied on a wire of uniform cross-sectional area \(3 \times {10^{ - 6}}\;{m^2}\) and length \(4\;m\), the increase in length is \(1\;mm\). Energy stored in it will be \(\left( {Y = 2 \times {{10}^{11}}\;N{\rm{/}}{m^2}} \right)\)

1 \(6250\;\,J\)
2 \(0.177\;\,J\)
3 \(0.075\;\,J\)
4 \(0.150\;\,J\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369654 Assertion :
If length of a rod is doubled the breaking load remains unchanged.
Reason :
Breaking load is equal to the elastic limit.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369650 A steel cable with a radius of \(1.5\;cm\) supports a chair lift at a ski area. If the maximum stress is not to exceed \({10^8}\;N/{m^2},\) what is the maximum load the cable can support?

1 \(7 \times 10^{5} \mathrm{~N}\)
2 \(7 \times 10^{6} \mathrm{~N}\)
3 \(7 \times 10^{4} \mathrm{~N}\)
4 \(9 \times 10^{5} \mathrm{~N}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369651 A massive stone pillar \(20\;m\) high and of uniform cross section rests on a rigid base and supports a vertical load of \(5.0 \times {10^5}\;N\) at its upper end. If the compressive stress in the pillar is not exceed \(1.6 \times {10^6}\;N/{m^2}\), what is the minimum crosssectional area of the pillar? (Density of the stone \( = 2.5 \times {10^3}\;kg/{m^3}\). Take \(g = 10\;N/kg)\)

1 \(0.15\;{m^2}\)
2 \(0.25\;{m^2}\)
3 \(0.35\;{m^2}\)
4 \(0.45\;{m^2}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369652 Maximum excess pressure inside a thin-walled steel tube of radius \(\mathrm{r}\) and thickness \(\Delta r( < < r)\), so that the tube would not rupture would be (breaking stress of steel is \({\sigma _{\max }}\) )

1 \(\sigma_{\max } \times \dfrac{r}{\Delta r}\)
2 \(\sigma_{\max } \times \dfrac{\Delta r}{r}\)
3 \(\sigma_{\max }\)
4 \(\sigma_{\max } \times \dfrac{\Delta 2 r}{r}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369653 When a force is applied on a wire of uniform cross-sectional area \(3 \times {10^{ - 6}}\;{m^2}\) and length \(4\;m\), the increase in length is \(1\;mm\). Energy stored in it will be \(\left( {Y = 2 \times {{10}^{11}}\;N{\rm{/}}{m^2}} \right)\)

1 \(6250\;\,J\)
2 \(0.177\;\,J\)
3 \(0.075\;\,J\)
4 \(0.150\;\,J\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369654 Assertion :
If length of a rod is doubled the breaking load remains unchanged.
Reason :
Breaking load is equal to the elastic limit.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
NEET Test Series from KOTA - 10 Papers In MS WORD WhatsApp Here
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369650 A steel cable with a radius of \(1.5\;cm\) supports a chair lift at a ski area. If the maximum stress is not to exceed \({10^8}\;N/{m^2},\) what is the maximum load the cable can support?

1 \(7 \times 10^{5} \mathrm{~N}\)
2 \(7 \times 10^{6} \mathrm{~N}\)
3 \(7 \times 10^{4} \mathrm{~N}\)
4 \(9 \times 10^{5} \mathrm{~N}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369651 A massive stone pillar \(20\;m\) high and of uniform cross section rests on a rigid base and supports a vertical load of \(5.0 \times {10^5}\;N\) at its upper end. If the compressive stress in the pillar is not exceed \(1.6 \times {10^6}\;N/{m^2}\), what is the minimum crosssectional area of the pillar? (Density of the stone \( = 2.5 \times {10^3}\;kg/{m^3}\). Take \(g = 10\;N/kg)\)

1 \(0.15\;{m^2}\)
2 \(0.25\;{m^2}\)
3 \(0.35\;{m^2}\)
4 \(0.45\;{m^2}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369652 Maximum excess pressure inside a thin-walled steel tube of radius \(\mathrm{r}\) and thickness \(\Delta r( < < r)\), so that the tube would not rupture would be (breaking stress of steel is \({\sigma _{\max }}\) )

1 \(\sigma_{\max } \times \dfrac{r}{\Delta r}\)
2 \(\sigma_{\max } \times \dfrac{\Delta r}{r}\)
3 \(\sigma_{\max }\)
4 \(\sigma_{\max } \times \dfrac{\Delta 2 r}{r}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369653 When a force is applied on a wire of uniform cross-sectional area \(3 \times {10^{ - 6}}\;{m^2}\) and length \(4\;m\), the increase in length is \(1\;mm\). Energy stored in it will be \(\left( {Y = 2 \times {{10}^{11}}\;N{\rm{/}}{m^2}} \right)\)

1 \(6250\;\,J\)
2 \(0.177\;\,J\)
3 \(0.075\;\,J\)
4 \(0.150\;\,J\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369654 Assertion :
If length of a rod is doubled the breaking load remains unchanged.
Reason :
Breaking load is equal to the elastic limit.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369650 A steel cable with a radius of \(1.5\;cm\) supports a chair lift at a ski area. If the maximum stress is not to exceed \({10^8}\;N/{m^2},\) what is the maximum load the cable can support?

1 \(7 \times 10^{5} \mathrm{~N}\)
2 \(7 \times 10^{6} \mathrm{~N}\)
3 \(7 \times 10^{4} \mathrm{~N}\)
4 \(9 \times 10^{5} \mathrm{~N}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369651 A massive stone pillar \(20\;m\) high and of uniform cross section rests on a rigid base and supports a vertical load of \(5.0 \times {10^5}\;N\) at its upper end. If the compressive stress in the pillar is not exceed \(1.6 \times {10^6}\;N/{m^2}\), what is the minimum crosssectional area of the pillar? (Density of the stone \( = 2.5 \times {10^3}\;kg/{m^3}\). Take \(g = 10\;N/kg)\)

1 \(0.15\;{m^2}\)
2 \(0.25\;{m^2}\)
3 \(0.35\;{m^2}\)
4 \(0.45\;{m^2}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369652 Maximum excess pressure inside a thin-walled steel tube of radius \(\mathrm{r}\) and thickness \(\Delta r( < < r)\), so that the tube would not rupture would be (breaking stress of steel is \({\sigma _{\max }}\) )

1 \(\sigma_{\max } \times \dfrac{r}{\Delta r}\)
2 \(\sigma_{\max } \times \dfrac{\Delta r}{r}\)
3 \(\sigma_{\max }\)
4 \(\sigma_{\max } \times \dfrac{\Delta 2 r}{r}\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369653 When a force is applied on a wire of uniform cross-sectional area \(3 \times {10^{ - 6}}\;{m^2}\) and length \(4\;m\), the increase in length is \(1\;mm\). Energy stored in it will be \(\left( {Y = 2 \times {{10}^{11}}\;N{\rm{/}}{m^2}} \right)\)

1 \(6250\;\,J\)
2 \(0.177\;\,J\)
3 \(0.075\;\,J\)
4 \(0.150\;\,J\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS

369654 Assertion :
If length of a rod is doubled the breaking load remains unchanged.
Reason :
Breaking load is equal to the elastic limit.

1 Both Assertion and Reason are correct and Reason is the correct explanation of the Assertion.
2 Both Assertion and Reason are correct but Reason is not the correct explanation of the Assertion.
3 Assertion is correct but Reason is incorrect.
4 Assertion is incorrect but reason is correct.