369707
When a sphere is taken to bottom of sea \(1\;km\) deep, it contracts by \(0.01 \%\). The bulk modulus of elasticity of the material of sphere is (take, density of water \( = 1\;g\;c{m^{ - 3}}\) )
369708
Assertion : When a solid sphere is placed in the fluid under high pressure, then it is compressed uniformly on all sides. Reason : The force applied by fluids acts in perpendicular direction at each point of surface.
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:
If a solid sphere placed in the fluid under high pressure, then it is compressed uniformly on all sides. The force applied by the fluids acts in perpendicular direction at each point of the surface and the body is said to be under hydraulic compression. This leads to decrease in its volume without any change of its shape. Therefore, Assertion and Reason are correct and Reason is the correct explanation of Assertion. Option (1) is correct.
PHXI09:MECHANICAL PROPERTIES OF SOLIDS
369709
The bulk modulus of water is \(2.1 \times {10^9}\;N/{m^2}\). The pressure required to increase the density of water by \(0.1 \%\) is
369710
The pressure applied from all directions on a cube is \(P\). How much its temperature should be raised to maintain the orginal volume? The volume elasticity of the cube is \(B\) and the coefficient of volume expansion is \(\beta\)
1 \(\dfrac{P \beta}{B}\)
2 \(\dfrac{P}{\beta B}\)
3 \(\dfrac{\beta B}{P}\)
4 \(\dfrac{P B}{\beta}\)
Explanation:
If coefficient of volume expansion is \(\beta\) and rise in temperature is \(\Delta \theta\) then Volume elasticity \(B=\dfrac{P}{\Delta V / V}=\dfrac{P}{\beta \Delta \theta} \Rightarrow \Delta \theta=\dfrac{P}{B \beta}\)
369707
When a sphere is taken to bottom of sea \(1\;km\) deep, it contracts by \(0.01 \%\). The bulk modulus of elasticity of the material of sphere is (take, density of water \( = 1\;g\;c{m^{ - 3}}\) )
369708
Assertion : When a solid sphere is placed in the fluid under high pressure, then it is compressed uniformly on all sides. Reason : The force applied by fluids acts in perpendicular direction at each point of surface.
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:
If a solid sphere placed in the fluid under high pressure, then it is compressed uniformly on all sides. The force applied by the fluids acts in perpendicular direction at each point of the surface and the body is said to be under hydraulic compression. This leads to decrease in its volume without any change of its shape. Therefore, Assertion and Reason are correct and Reason is the correct explanation of Assertion. Option (1) is correct.
PHXI09:MECHANICAL PROPERTIES OF SOLIDS
369709
The bulk modulus of water is \(2.1 \times {10^9}\;N/{m^2}\). The pressure required to increase the density of water by \(0.1 \%\) is
369710
The pressure applied from all directions on a cube is \(P\). How much its temperature should be raised to maintain the orginal volume? The volume elasticity of the cube is \(B\) and the coefficient of volume expansion is \(\beta\)
1 \(\dfrac{P \beta}{B}\)
2 \(\dfrac{P}{\beta B}\)
3 \(\dfrac{\beta B}{P}\)
4 \(\dfrac{P B}{\beta}\)
Explanation:
If coefficient of volume expansion is \(\beta\) and rise in temperature is \(\Delta \theta\) then Volume elasticity \(B=\dfrac{P}{\Delta V / V}=\dfrac{P}{\beta \Delta \theta} \Rightarrow \Delta \theta=\dfrac{P}{B \beta}\)
369707
When a sphere is taken to bottom of sea \(1\;km\) deep, it contracts by \(0.01 \%\). The bulk modulus of elasticity of the material of sphere is (take, density of water \( = 1\;g\;c{m^{ - 3}}\) )
369708
Assertion : When a solid sphere is placed in the fluid under high pressure, then it is compressed uniformly on all sides. Reason : The force applied by fluids acts in perpendicular direction at each point of surface.
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:
If a solid sphere placed in the fluid under high pressure, then it is compressed uniformly on all sides. The force applied by the fluids acts in perpendicular direction at each point of the surface and the body is said to be under hydraulic compression. This leads to decrease in its volume without any change of its shape. Therefore, Assertion and Reason are correct and Reason is the correct explanation of Assertion. Option (1) is correct.
PHXI09:MECHANICAL PROPERTIES OF SOLIDS
369709
The bulk modulus of water is \(2.1 \times {10^9}\;N/{m^2}\). The pressure required to increase the density of water by \(0.1 \%\) is
369710
The pressure applied from all directions on a cube is \(P\). How much its temperature should be raised to maintain the orginal volume? The volume elasticity of the cube is \(B\) and the coefficient of volume expansion is \(\beta\)
1 \(\dfrac{P \beta}{B}\)
2 \(\dfrac{P}{\beta B}\)
3 \(\dfrac{\beta B}{P}\)
4 \(\dfrac{P B}{\beta}\)
Explanation:
If coefficient of volume expansion is \(\beta\) and rise in temperature is \(\Delta \theta\) then Volume elasticity \(B=\dfrac{P}{\Delta V / V}=\dfrac{P}{\beta \Delta \theta} \Rightarrow \Delta \theta=\dfrac{P}{B \beta}\)
369707
When a sphere is taken to bottom of sea \(1\;km\) deep, it contracts by \(0.01 \%\). The bulk modulus of elasticity of the material of sphere is (take, density of water \( = 1\;g\;c{m^{ - 3}}\) )
369708
Assertion : When a solid sphere is placed in the fluid under high pressure, then it is compressed uniformly on all sides. Reason : The force applied by fluids acts in perpendicular direction at each point of surface.
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:
If a solid sphere placed in the fluid under high pressure, then it is compressed uniformly on all sides. The force applied by the fluids acts in perpendicular direction at each point of the surface and the body is said to be under hydraulic compression. This leads to decrease in its volume without any change of its shape. Therefore, Assertion and Reason are correct and Reason is the correct explanation of Assertion. Option (1) is correct.
PHXI09:MECHANICAL PROPERTIES OF SOLIDS
369709
The bulk modulus of water is \(2.1 \times {10^9}\;N/{m^2}\). The pressure required to increase the density of water by \(0.1 \%\) is
369710
The pressure applied from all directions on a cube is \(P\). How much its temperature should be raised to maintain the orginal volume? The volume elasticity of the cube is \(B\) and the coefficient of volume expansion is \(\beta\)
1 \(\dfrac{P \beta}{B}\)
2 \(\dfrac{P}{\beta B}\)
3 \(\dfrac{\beta B}{P}\)
4 \(\dfrac{P B}{\beta}\)
Explanation:
If coefficient of volume expansion is \(\beta\) and rise in temperature is \(\Delta \theta\) then Volume elasticity \(B=\dfrac{P}{\Delta V / V}=\dfrac{P}{\beta \Delta \theta} \Rightarrow \Delta \theta=\dfrac{P}{B \beta}\)
