369685
When metal wire elongates by hanging load on it, then fractional change in volume \(\dfrac{\Delta V}{V}\) is proportional to
1 \(l \Delta l\)
2 \(\dfrac{\Delta l}{l}\)
3 \(\dfrac{2 \Delta l}{l}\)
4 \(\sqrt{\dfrac{\Delta l}{l}}\)
Explanation:
Poisson's ratio \(\sigma=-\dfrac{\Delta r / r}{\Delta l / l}\) \(\Rightarrow \dfrac{\Delta V}{V}=\dfrac{\Delta l}{l}(1-2 \sigma)\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS
369686
If compressibility of a material is \(4 \times 10^{-5}\) per \(\mathrm{atm}\), pressure is \(100 \mathrm{~atm}\) and volume is \(100\;c{m^3},\) then find the value of \(\Delta V\).
369687
Assertion : Bulk modulus of elasticity represents incompressibility of the material. Reason : Bulk modulus of elasticity is proportional to change in pressure for a given volume-strain.
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.
Explanation:
Bulk modulus \(B=\dfrac{-\Delta P}{\Delta V / V_{0}}\) Also, \(B=\dfrac{1}{\text { compressibility }}(=\) In compressibility) The bulk modulus measures a material's resistance to volume change under an applied pressure. For different materials, if \(\left(\dfrac{\Delta V}{V_{0}}\right)\) is same, we have different values of \(B\) with \(B \propto(\Delta P)\). The reason correctly explains what bulk modulus represents. So correct option is (1).
PHXI09:MECHANICAL PROPERTIES OF SOLIDS
369688
The order of bulk modulus for solids, liquids, and gases is
Since solids are least compressible, \({B_{\text {solid }}}\) is highest.
PHXI09:MECHANICAL PROPERTIES OF SOLIDS
369689
Assertion : Gases have large compressibility. Reason : Compressibility is defined as the dfractional change in volume per unit decrease in pressure, which is high for gases.
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.
Explanation:
Molecules in gases are very poorly coupled to their neighbours molecules. Since, compressibility is defined as the dfractional change in volume per unit increase or decrease in pressure. \(\begin{gathered}K=1 / B \\B=\left(\dfrac{-\Delta P}{\Delta V / V}\right)\end{gathered}\) Where, \(B\) is bulk modulus and \(\Delta p\) change in pressure. So, in gases, dfractional change in volume with per unit increase or decrease in pressure is not very prominent. Thus, they have large compressibility. Therefore, Assertion and Reason are correct and Reason is the correct explanation of Assertion.
369685
When metal wire elongates by hanging load on it, then fractional change in volume \(\dfrac{\Delta V}{V}\) is proportional to
1 \(l \Delta l\)
2 \(\dfrac{\Delta l}{l}\)
3 \(\dfrac{2 \Delta l}{l}\)
4 \(\sqrt{\dfrac{\Delta l}{l}}\)
Explanation:
Poisson's ratio \(\sigma=-\dfrac{\Delta r / r}{\Delta l / l}\) \(\Rightarrow \dfrac{\Delta V}{V}=\dfrac{\Delta l}{l}(1-2 \sigma)\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS
369686
If compressibility of a material is \(4 \times 10^{-5}\) per \(\mathrm{atm}\), pressure is \(100 \mathrm{~atm}\) and volume is \(100\;c{m^3},\) then find the value of \(\Delta V\).
369687
Assertion : Bulk modulus of elasticity represents incompressibility of the material. Reason : Bulk modulus of elasticity is proportional to change in pressure for a given volume-strain.
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.
Explanation:
Bulk modulus \(B=\dfrac{-\Delta P}{\Delta V / V_{0}}\) Also, \(B=\dfrac{1}{\text { compressibility }}(=\) In compressibility) The bulk modulus measures a material's resistance to volume change under an applied pressure. For different materials, if \(\left(\dfrac{\Delta V}{V_{0}}\right)\) is same, we have different values of \(B\) with \(B \propto(\Delta P)\). The reason correctly explains what bulk modulus represents. So correct option is (1).
PHXI09:MECHANICAL PROPERTIES OF SOLIDS
369688
The order of bulk modulus for solids, liquids, and gases is
Since solids are least compressible, \({B_{\text {solid }}}\) is highest.
PHXI09:MECHANICAL PROPERTIES OF SOLIDS
369689
Assertion : Gases have large compressibility. Reason : Compressibility is defined as the dfractional change in volume per unit decrease in pressure, which is high for gases.
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.
Explanation:
Molecules in gases are very poorly coupled to their neighbours molecules. Since, compressibility is defined as the dfractional change in volume per unit increase or decrease in pressure. \(\begin{gathered}K=1 / B \\B=\left(\dfrac{-\Delta P}{\Delta V / V}\right)\end{gathered}\) Where, \(B\) is bulk modulus and \(\Delta p\) change in pressure. So, in gases, dfractional change in volume with per unit increase or decrease in pressure is not very prominent. Thus, they have large compressibility. Therefore, Assertion and Reason are correct and Reason is the correct explanation of Assertion.
369685
When metal wire elongates by hanging load on it, then fractional change in volume \(\dfrac{\Delta V}{V}\) is proportional to
1 \(l \Delta l\)
2 \(\dfrac{\Delta l}{l}\)
3 \(\dfrac{2 \Delta l}{l}\)
4 \(\sqrt{\dfrac{\Delta l}{l}}\)
Explanation:
Poisson's ratio \(\sigma=-\dfrac{\Delta r / r}{\Delta l / l}\) \(\Rightarrow \dfrac{\Delta V}{V}=\dfrac{\Delta l}{l}(1-2 \sigma)\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS
369686
If compressibility of a material is \(4 \times 10^{-5}\) per \(\mathrm{atm}\), pressure is \(100 \mathrm{~atm}\) and volume is \(100\;c{m^3},\) then find the value of \(\Delta V\).
369687
Assertion : Bulk modulus of elasticity represents incompressibility of the material. Reason : Bulk modulus of elasticity is proportional to change in pressure for a given volume-strain.
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.
Explanation:
Bulk modulus \(B=\dfrac{-\Delta P}{\Delta V / V_{0}}\) Also, \(B=\dfrac{1}{\text { compressibility }}(=\) In compressibility) The bulk modulus measures a material's resistance to volume change under an applied pressure. For different materials, if \(\left(\dfrac{\Delta V}{V_{0}}\right)\) is same, we have different values of \(B\) with \(B \propto(\Delta P)\). The reason correctly explains what bulk modulus represents. So correct option is (1).
PHXI09:MECHANICAL PROPERTIES OF SOLIDS
369688
The order of bulk modulus for solids, liquids, and gases is
Since solids are least compressible, \({B_{\text {solid }}}\) is highest.
PHXI09:MECHANICAL PROPERTIES OF SOLIDS
369689
Assertion : Gases have large compressibility. Reason : Compressibility is defined as the dfractional change in volume per unit decrease in pressure, which is high for gases.
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.
Explanation:
Molecules in gases are very poorly coupled to their neighbours molecules. Since, compressibility is defined as the dfractional change in volume per unit increase or decrease in pressure. \(\begin{gathered}K=1 / B \\B=\left(\dfrac{-\Delta P}{\Delta V / V}\right)\end{gathered}\) Where, \(B\) is bulk modulus and \(\Delta p\) change in pressure. So, in gases, dfractional change in volume with per unit increase or decrease in pressure is not very prominent. Thus, they have large compressibility. Therefore, Assertion and Reason are correct and Reason is the correct explanation of Assertion.
369685
When metal wire elongates by hanging load on it, then fractional change in volume \(\dfrac{\Delta V}{V}\) is proportional to
1 \(l \Delta l\)
2 \(\dfrac{\Delta l}{l}\)
3 \(\dfrac{2 \Delta l}{l}\)
4 \(\sqrt{\dfrac{\Delta l}{l}}\)
Explanation:
Poisson's ratio \(\sigma=-\dfrac{\Delta r / r}{\Delta l / l}\) \(\Rightarrow \dfrac{\Delta V}{V}=\dfrac{\Delta l}{l}(1-2 \sigma)\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS
369686
If compressibility of a material is \(4 \times 10^{-5}\) per \(\mathrm{atm}\), pressure is \(100 \mathrm{~atm}\) and volume is \(100\;c{m^3},\) then find the value of \(\Delta V\).
369687
Assertion : Bulk modulus of elasticity represents incompressibility of the material. Reason : Bulk modulus of elasticity is proportional to change in pressure for a given volume-strain.
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.
Explanation:
Bulk modulus \(B=\dfrac{-\Delta P}{\Delta V / V_{0}}\) Also, \(B=\dfrac{1}{\text { compressibility }}(=\) In compressibility) The bulk modulus measures a material's resistance to volume change under an applied pressure. For different materials, if \(\left(\dfrac{\Delta V}{V_{0}}\right)\) is same, we have different values of \(B\) with \(B \propto(\Delta P)\). The reason correctly explains what bulk modulus represents. So correct option is (1).
PHXI09:MECHANICAL PROPERTIES OF SOLIDS
369688
The order of bulk modulus for solids, liquids, and gases is
Since solids are least compressible, \({B_{\text {solid }}}\) is highest.
PHXI09:MECHANICAL PROPERTIES OF SOLIDS
369689
Assertion : Gases have large compressibility. Reason : Compressibility is defined as the dfractional change in volume per unit decrease in pressure, which is high for gases.
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.
Explanation:
Molecules in gases are very poorly coupled to their neighbours molecules. Since, compressibility is defined as the dfractional change in volume per unit increase or decrease in pressure. \(\begin{gathered}K=1 / B \\B=\left(\dfrac{-\Delta P}{\Delta V / V}\right)\end{gathered}\) Where, \(B\) is bulk modulus and \(\Delta p\) change in pressure. So, in gases, dfractional change in volume with per unit increase or decrease in pressure is not very prominent. Thus, they have large compressibility. Therefore, Assertion and Reason are correct and Reason is the correct explanation of Assertion.
369685
When metal wire elongates by hanging load on it, then fractional change in volume \(\dfrac{\Delta V}{V}\) is proportional to
1 \(l \Delta l\)
2 \(\dfrac{\Delta l}{l}\)
3 \(\dfrac{2 \Delta l}{l}\)
4 \(\sqrt{\dfrac{\Delta l}{l}}\)
Explanation:
Poisson's ratio \(\sigma=-\dfrac{\Delta r / r}{\Delta l / l}\) \(\Rightarrow \dfrac{\Delta V}{V}=\dfrac{\Delta l}{l}(1-2 \sigma)\)
PHXI09:MECHANICAL PROPERTIES OF SOLIDS
369686
If compressibility of a material is \(4 \times 10^{-5}\) per \(\mathrm{atm}\), pressure is \(100 \mathrm{~atm}\) and volume is \(100\;c{m^3},\) then find the value of \(\Delta V\).
369687
Assertion : Bulk modulus of elasticity represents incompressibility of the material. Reason : Bulk modulus of elasticity is proportional to change in pressure for a given volume-strain.
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.
Explanation:
Bulk modulus \(B=\dfrac{-\Delta P}{\Delta V / V_{0}}\) Also, \(B=\dfrac{1}{\text { compressibility }}(=\) In compressibility) The bulk modulus measures a material's resistance to volume change under an applied pressure. For different materials, if \(\left(\dfrac{\Delta V}{V_{0}}\right)\) is same, we have different values of \(B\) with \(B \propto(\Delta P)\). The reason correctly explains what bulk modulus represents. So correct option is (1).
PHXI09:MECHANICAL PROPERTIES OF SOLIDS
369688
The order of bulk modulus for solids, liquids, and gases is
Since solids are least compressible, \({B_{\text {solid }}}\) is highest.
PHXI09:MECHANICAL PROPERTIES OF SOLIDS
369689
Assertion : Gases have large compressibility. Reason : Compressibility is defined as the dfractional change in volume per unit decrease in pressure, which is high for gases.
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.
Explanation:
Molecules in gases are very poorly coupled to their neighbours molecules. Since, compressibility is defined as the dfractional change in volume per unit increase or decrease in pressure. \(\begin{gathered}K=1 / B \\B=\left(\dfrac{-\Delta P}{\Delta V / V}\right)\end{gathered}\) Where, \(B\) is bulk modulus and \(\Delta p\) change in pressure. So, in gases, dfractional change in volume with per unit increase or decrease in pressure is not very prominent. Thus, they have large compressibility. Therefore, Assertion and Reason are correct and Reason is the correct explanation of Assertion.
