NEET Test Series from KOTA - 10 Papers In MS WORD
WhatsApp Here
Mechanical Properties of Solids
141118
A cube is subjected to a uniform volume compression. If the side of the cube decreases by $2 \%$ the bulk strain is
1 0.02
2 0.03
3 0.04
4 0.06
Explanation:
D Volume of cube $(\mathrm{V})=\mathrm{L}^{3}$ Percentage change in volume $=2 \times$ percentage change in L $=2 \times 1 \%=2 \%$ $\Delta \mathrm{V}=2 \%$ Volumetric strain $=\frac{\Delta \mathrm{V}}{\mathrm{V}}=\frac{2}{100}=0.02$ Bulk strain $=3 \times 0.02$ $=0.06$
BITSAT-2013
Mechanical Properties of Solids
141119
Theoretical value of Poission's ratio is
1 between $-\frac{1}{2}$ and $+\frac{1}{2}$
2 between -1 and $+\frac{1}{2}$
3 between $-\frac{1}{2}$ and +1
4 between -1 and +1
Explanation:
B Where, $Y=\text { young's modulus }$ $B=\text { Bulk modulus }$ $G=\text { modulus of rigidity }$ $U=\text { Poisson's ratio }$ Young's modulus $Y=3 B(1-2 v)$ $Y=2 G(1+v)$ $3 B(1-2 v)=2 G(1+v)$ $B$ and $G$ are always positive $2 v \lt 1 \text { and } 1+v>0$ $v \lt \frac{1}{2} v>-1$ $\text { Thus, } \quad-1 \lt v \lt \frac{1}{2}$
CG PET- 2013
Mechanical Properties of Solids
141120
For a given material, the value of $y$ is 2.4 times that of $\eta$. Its Poissons ratio is
1 2.4
2 1.2
3 0.4
4 0.2
Explanation:
D Given, \(y=2.4 \eta\) We know that, \(y=2 \eta(1+v)\) \(2.4 \eta=2 \eta(1+v)\) \(v=0.2\)
CG PET- 2012
Mechanical Properties of Solids
141121
Assertion: Hollow shaft is found to be stronger than a solid shaft made of same equal material. Reason: Torque required to produce a given twist in hollow cylinder is greater than that required to twist a solid cylinder of same length and material.
1 If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
3 If Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
Explanation:
A In hollow shaft, the material are from center stiffness of shaft increases. Assertion is true. Hollows cylinder is more stronger than solid cylinder so torque required for Hollow $>$ Torque for solid Reason is correct.
141118
A cube is subjected to a uniform volume compression. If the side of the cube decreases by $2 \%$ the bulk strain is
1 0.02
2 0.03
3 0.04
4 0.06
Explanation:
D Volume of cube $(\mathrm{V})=\mathrm{L}^{3}$ Percentage change in volume $=2 \times$ percentage change in L $=2 \times 1 \%=2 \%$ $\Delta \mathrm{V}=2 \%$ Volumetric strain $=\frac{\Delta \mathrm{V}}{\mathrm{V}}=\frac{2}{100}=0.02$ Bulk strain $=3 \times 0.02$ $=0.06$
BITSAT-2013
Mechanical Properties of Solids
141119
Theoretical value of Poission's ratio is
1 between $-\frac{1}{2}$ and $+\frac{1}{2}$
2 between -1 and $+\frac{1}{2}$
3 between $-\frac{1}{2}$ and +1
4 between -1 and +1
Explanation:
B Where, $Y=\text { young's modulus }$ $B=\text { Bulk modulus }$ $G=\text { modulus of rigidity }$ $U=\text { Poisson's ratio }$ Young's modulus $Y=3 B(1-2 v)$ $Y=2 G(1+v)$ $3 B(1-2 v)=2 G(1+v)$ $B$ and $G$ are always positive $2 v \lt 1 \text { and } 1+v>0$ $v \lt \frac{1}{2} v>-1$ $\text { Thus, } \quad-1 \lt v \lt \frac{1}{2}$
CG PET- 2013
Mechanical Properties of Solids
141120
For a given material, the value of $y$ is 2.4 times that of $\eta$. Its Poissons ratio is
1 2.4
2 1.2
3 0.4
4 0.2
Explanation:
D Given, \(y=2.4 \eta\) We know that, \(y=2 \eta(1+v)\) \(2.4 \eta=2 \eta(1+v)\) \(v=0.2\)
CG PET- 2012
Mechanical Properties of Solids
141121
Assertion: Hollow shaft is found to be stronger than a solid shaft made of same equal material. Reason: Torque required to produce a given twist in hollow cylinder is greater than that required to twist a solid cylinder of same length and material.
1 If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
3 If Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
Explanation:
A In hollow shaft, the material are from center stiffness of shaft increases. Assertion is true. Hollows cylinder is more stronger than solid cylinder so torque required for Hollow $>$ Torque for solid Reason is correct.
141118
A cube is subjected to a uniform volume compression. If the side of the cube decreases by $2 \%$ the bulk strain is
1 0.02
2 0.03
3 0.04
4 0.06
Explanation:
D Volume of cube $(\mathrm{V})=\mathrm{L}^{3}$ Percentage change in volume $=2 \times$ percentage change in L $=2 \times 1 \%=2 \%$ $\Delta \mathrm{V}=2 \%$ Volumetric strain $=\frac{\Delta \mathrm{V}}{\mathrm{V}}=\frac{2}{100}=0.02$ Bulk strain $=3 \times 0.02$ $=0.06$
BITSAT-2013
Mechanical Properties of Solids
141119
Theoretical value of Poission's ratio is
1 between $-\frac{1}{2}$ and $+\frac{1}{2}$
2 between -1 and $+\frac{1}{2}$
3 between $-\frac{1}{2}$ and +1
4 between -1 and +1
Explanation:
B Where, $Y=\text { young's modulus }$ $B=\text { Bulk modulus }$ $G=\text { modulus of rigidity }$ $U=\text { Poisson's ratio }$ Young's modulus $Y=3 B(1-2 v)$ $Y=2 G(1+v)$ $3 B(1-2 v)=2 G(1+v)$ $B$ and $G$ are always positive $2 v \lt 1 \text { and } 1+v>0$ $v \lt \frac{1}{2} v>-1$ $\text { Thus, } \quad-1 \lt v \lt \frac{1}{2}$
CG PET- 2013
Mechanical Properties of Solids
141120
For a given material, the value of $y$ is 2.4 times that of $\eta$. Its Poissons ratio is
1 2.4
2 1.2
3 0.4
4 0.2
Explanation:
D Given, \(y=2.4 \eta\) We know that, \(y=2 \eta(1+v)\) \(2.4 \eta=2 \eta(1+v)\) \(v=0.2\)
CG PET- 2012
Mechanical Properties of Solids
141121
Assertion: Hollow shaft is found to be stronger than a solid shaft made of same equal material. Reason: Torque required to produce a given twist in hollow cylinder is greater than that required to twist a solid cylinder of same length and material.
1 If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
3 If Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
Explanation:
A In hollow shaft, the material are from center stiffness of shaft increases. Assertion is true. Hollows cylinder is more stronger than solid cylinder so torque required for Hollow $>$ Torque for solid Reason is correct.
NEET Test Series from KOTA - 10 Papers In MS WORD
WhatsApp Here
Mechanical Properties of Solids
141118
A cube is subjected to a uniform volume compression. If the side of the cube decreases by $2 \%$ the bulk strain is
1 0.02
2 0.03
3 0.04
4 0.06
Explanation:
D Volume of cube $(\mathrm{V})=\mathrm{L}^{3}$ Percentage change in volume $=2 \times$ percentage change in L $=2 \times 1 \%=2 \%$ $\Delta \mathrm{V}=2 \%$ Volumetric strain $=\frac{\Delta \mathrm{V}}{\mathrm{V}}=\frac{2}{100}=0.02$ Bulk strain $=3 \times 0.02$ $=0.06$
BITSAT-2013
Mechanical Properties of Solids
141119
Theoretical value of Poission's ratio is
1 between $-\frac{1}{2}$ and $+\frac{1}{2}$
2 between -1 and $+\frac{1}{2}$
3 between $-\frac{1}{2}$ and +1
4 between -1 and +1
Explanation:
B Where, $Y=\text { young's modulus }$ $B=\text { Bulk modulus }$ $G=\text { modulus of rigidity }$ $U=\text { Poisson's ratio }$ Young's modulus $Y=3 B(1-2 v)$ $Y=2 G(1+v)$ $3 B(1-2 v)=2 G(1+v)$ $B$ and $G$ are always positive $2 v \lt 1 \text { and } 1+v>0$ $v \lt \frac{1}{2} v>-1$ $\text { Thus, } \quad-1 \lt v \lt \frac{1}{2}$
CG PET- 2013
Mechanical Properties of Solids
141120
For a given material, the value of $y$ is 2.4 times that of $\eta$. Its Poissons ratio is
1 2.4
2 1.2
3 0.4
4 0.2
Explanation:
D Given, \(y=2.4 \eta\) We know that, \(y=2 \eta(1+v)\) \(2.4 \eta=2 \eta(1+v)\) \(v=0.2\)
CG PET- 2012
Mechanical Properties of Solids
141121
Assertion: Hollow shaft is found to be stronger than a solid shaft made of same equal material. Reason: Torque required to produce a given twist in hollow cylinder is greater than that required to twist a solid cylinder of same length and material.
1 If both Assertion and Reason are correct and Reason is the correct explanation of Assertion.
2 If both Assertion and Reason are correct, but Reason is not the correct explanation of Assertion.
3 If Assertion is correct but Reason is incorrect.
4 If both the Assertion and Reason are incorrect.
Explanation:
A In hollow shaft, the material are from center stiffness of shaft increases. Assertion is true. Hollows cylinder is more stronger than solid cylinder so torque required for Hollow $>$ Torque for solid Reason is correct.