Surface Tension
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361293 If the surface tension of a liquid is \(T\), the gain in surface energy for an increase in liquid surface by \(A\) is

1 \(A T^{-1}\)
2 \(A T\)
3 \(A^{2} T\)
4 \(A^{2} T^{2}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361294 Assertion :
A thin stainless steel needle can lay floating on a still water surface.
Reason :
The needle floats when the buoyancy force balances the weight of the object.

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.
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361295 Assertion :
A needle placed carefully on the surface of water may float, whereas the ball of the same material will always sink.
Reason :
The buoyancy of an object does not depend on both on the materials and shape of the object.

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.
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361296 Water is filled up to a height \(h\) in a beaker of radius \(R\) as shown in the figure. The density of water is \(\rho\), the surface tension of water is \(T\) and the atmospheric pressure is \(P_{0}\). Consider a vertical section \(A B C D\) of the water column through a diameter of the beaker. The force of water on one side of this section by water on the other side of this section has magnitude
supporting img

1 \(\left| {2{P_0}Rh + \pi {R^2}\rho gh - 2RT} \right|\)
2 \(\left| {2{P_0}Rh + R\rho g{h^2} - 2RT} \right|\)
3 \(\left| {{P_0}\pi {R^2} + R\rho g{h^2} + 2RT} \right|\)
4 \(\left| {{P_0}\pi {R^2} + R\rho g{h^2} - 2RT} \right|\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361293 If the surface tension of a liquid is \(T\), the gain in surface energy for an increase in liquid surface by \(A\) is

1 \(A T^{-1}\)
2 \(A T\)
3 \(A^{2} T\)
4 \(A^{2} T^{2}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361294 Assertion :
A thin stainless steel needle can lay floating on a still water surface.
Reason :
The needle floats when the buoyancy force balances the weight of the object.

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.
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361295 Assertion :
A needle placed carefully on the surface of water may float, whereas the ball of the same material will always sink.
Reason :
The buoyancy of an object does not depend on both on the materials and shape of the object.

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.
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361296 Water is filled up to a height \(h\) in a beaker of radius \(R\) as shown in the figure. The density of water is \(\rho\), the surface tension of water is \(T\) and the atmospheric pressure is \(P_{0}\). Consider a vertical section \(A B C D\) of the water column through a diameter of the beaker. The force of water on one side of this section by water on the other side of this section has magnitude
supporting img

1 \(\left| {2{P_0}Rh + \pi {R^2}\rho gh - 2RT} \right|\)
2 \(\left| {2{P_0}Rh + R\rho g{h^2} - 2RT} \right|\)
3 \(\left| {{P_0}\pi {R^2} + R\rho g{h^2} + 2RT} \right|\)
4 \(\left| {{P_0}\pi {R^2} + R\rho g{h^2} - 2RT} \right|\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361293 If the surface tension of a liquid is \(T\), the gain in surface energy for an increase in liquid surface by \(A\) is

1 \(A T^{-1}\)
2 \(A T\)
3 \(A^{2} T\)
4 \(A^{2} T^{2}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361294 Assertion :
A thin stainless steel needle can lay floating on a still water surface.
Reason :
The needle floats when the buoyancy force balances the weight of the object.

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.
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361295 Assertion :
A needle placed carefully on the surface of water may float, whereas the ball of the same material will always sink.
Reason :
The buoyancy of an object does not depend on both on the materials and shape of the object.

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.
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361296 Water is filled up to a height \(h\) in a beaker of radius \(R\) as shown in the figure. The density of water is \(\rho\), the surface tension of water is \(T\) and the atmospheric pressure is \(P_{0}\). Consider a vertical section \(A B C D\) of the water column through a diameter of the beaker. The force of water on one side of this section by water on the other side of this section has magnitude
supporting img

1 \(\left| {2{P_0}Rh + \pi {R^2}\rho gh - 2RT} \right|\)
2 \(\left| {2{P_0}Rh + R\rho g{h^2} - 2RT} \right|\)
3 \(\left| {{P_0}\pi {R^2} + R\rho g{h^2} + 2RT} \right|\)
4 \(\left| {{P_0}\pi {R^2} + R\rho g{h^2} - 2RT} \right|\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361293 If the surface tension of a liquid is \(T\), the gain in surface energy for an increase in liquid surface by \(A\) is

1 \(A T^{-1}\)
2 \(A T\)
3 \(A^{2} T\)
4 \(A^{2} T^{2}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361294 Assertion :
A thin stainless steel needle can lay floating on a still water surface.
Reason :
The needle floats when the buoyancy force balances the weight of the object.

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.
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361295 Assertion :
A needle placed carefully on the surface of water may float, whereas the ball of the same material will always sink.
Reason :
The buoyancy of an object does not depend on both on the materials and shape of the object.

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.
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361296 Water is filled up to a height \(h\) in a beaker of radius \(R\) as shown in the figure. The density of water is \(\rho\), the surface tension of water is \(T\) and the atmospheric pressure is \(P_{0}\). Consider a vertical section \(A B C D\) of the water column through a diameter of the beaker. The force of water on one side of this section by water on the other side of this section has magnitude
supporting img

1 \(\left| {2{P_0}Rh + \pi {R^2}\rho gh - 2RT} \right|\)
2 \(\left| {2{P_0}Rh + R\rho g{h^2} - 2RT} \right|\)
3 \(\left| {{P_0}\pi {R^2} + R\rho g{h^2} + 2RT} \right|\)
4 \(\left| {{P_0}\pi {R^2} + R\rho g{h^2} - 2RT} \right|\)