Surface Tension
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PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361139 A capillary tube is immersed vertically in water and the height of the water column is \(x\). When this arrangement is taken into a mine of depth \(d\), the height of the water column is \(y\). If \(R\) is the radius of the earth, the ratio \(\dfrac{x}{y}\) is

1 \(\left(1-\dfrac{d}{R}\right)\)
2 \(\left(\dfrac{R+d}{R-d}\right)\)
3 \(\left(\dfrac{R-d}{R+d}\right)\)
4 \(\left(1+\dfrac{d}{R}\right)\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361140 Statement A :
When height of a tube is less than liquid rise in the capillary tube, the liquid does not overflow.
Statement B :
Product of radius of meniscus and height of liquid in the capillary tube always remain constant.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361141 It is difficult to fill a capillary tube with mercury than with water since

1 Angle of contact between glass & mercury is more than \(90^{\circ}\) and the angle of contact between glass and water is less than \(90^{\circ}\).
2 Angle of contact is between glass and mercury is less than \(90^{\circ}\) and the angle of contact between glass and water is more than \(90^{\circ}\).
3 Angle of contact is same for both water and mercury.
4 Mercury is less dense than water.
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361142 What is the diameter of a capillary tube in which mercury is depressed by \(1.21\;cm\) and surface tension for mercury is \(540 \times {10^{ - 3}}N{m^{ - 1}}\) the angle of constant is \(120^{\circ}\) and density of mercury is
\(13.6 \times {10^3}\;kg\;{m^{ - 3}}?\)

1 \(0.06\;mm\)
2 \(2\;mm\)
3 \(10\;mm\)
4 \(0.67\;mm\)
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PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361139 A capillary tube is immersed vertically in water and the height of the water column is \(x\). When this arrangement is taken into a mine of depth \(d\), the height of the water column is \(y\). If \(R\) is the radius of the earth, the ratio \(\dfrac{x}{y}\) is

1 \(\left(1-\dfrac{d}{R}\right)\)
2 \(\left(\dfrac{R+d}{R-d}\right)\)
3 \(\left(\dfrac{R-d}{R+d}\right)\)
4 \(\left(1+\dfrac{d}{R}\right)\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361140 Statement A :
When height of a tube is less than liquid rise in the capillary tube, the liquid does not overflow.
Statement B :
Product of radius of meniscus and height of liquid in the capillary tube always remain constant.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361141 It is difficult to fill a capillary tube with mercury than with water since

1 Angle of contact between glass & mercury is more than \(90^{\circ}\) and the angle of contact between glass and water is less than \(90^{\circ}\).
2 Angle of contact is between glass and mercury is less than \(90^{\circ}\) and the angle of contact between glass and water is more than \(90^{\circ}\).
3 Angle of contact is same for both water and mercury.
4 Mercury is less dense than water.
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361142 What is the diameter of a capillary tube in which mercury is depressed by \(1.21\;cm\) and surface tension for mercury is \(540 \times {10^{ - 3}}N{m^{ - 1}}\) the angle of constant is \(120^{\circ}\) and density of mercury is
\(13.6 \times {10^3}\;kg\;{m^{ - 3}}?\)

1 \(0.06\;mm\)
2 \(2\;mm\)
3 \(10\;mm\)
4 \(0.67\;mm\)
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PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361139 A capillary tube is immersed vertically in water and the height of the water column is \(x\). When this arrangement is taken into a mine of depth \(d\), the height of the water column is \(y\). If \(R\) is the radius of the earth, the ratio \(\dfrac{x}{y}\) is

1 \(\left(1-\dfrac{d}{R}\right)\)
2 \(\left(\dfrac{R+d}{R-d}\right)\)
3 \(\left(\dfrac{R-d}{R+d}\right)\)
4 \(\left(1+\dfrac{d}{R}\right)\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361140 Statement A :
When height of a tube is less than liquid rise in the capillary tube, the liquid does not overflow.
Statement B :
Product of radius of meniscus and height of liquid in the capillary tube always remain constant.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361141 It is difficult to fill a capillary tube with mercury than with water since

1 Angle of contact between glass & mercury is more than \(90^{\circ}\) and the angle of contact between glass and water is less than \(90^{\circ}\).
2 Angle of contact is between glass and mercury is less than \(90^{\circ}\) and the angle of contact between glass and water is more than \(90^{\circ}\).
3 Angle of contact is same for both water and mercury.
4 Mercury is less dense than water.
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361142 What is the diameter of a capillary tube in which mercury is depressed by \(1.21\;cm\) and surface tension for mercury is \(540 \times {10^{ - 3}}N{m^{ - 1}}\) the angle of constant is \(120^{\circ}\) and density of mercury is
\(13.6 \times {10^3}\;kg\;{m^{ - 3}}?\)

1 \(0.06\;mm\)
2 \(2\;mm\)
3 \(10\;mm\)
4 \(0.67\;mm\)
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PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361139 A capillary tube is immersed vertically in water and the height of the water column is \(x\). When this arrangement is taken into a mine of depth \(d\), the height of the water column is \(y\). If \(R\) is the radius of the earth, the ratio \(\dfrac{x}{y}\) is

1 \(\left(1-\dfrac{d}{R}\right)\)
2 \(\left(\dfrac{R+d}{R-d}\right)\)
3 \(\left(\dfrac{R-d}{R+d}\right)\)
4 \(\left(1+\dfrac{d}{R}\right)\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361140 Statement A :
When height of a tube is less than liquid rise in the capillary tube, the liquid does not overflow.
Statement B :
Product of radius of meniscus and height of liquid in the capillary tube always remain constant.

1 Statement A is correct but Statement B is incorrect.
2 Statement A is incorrect but Statement B is correct.
3 Both statements are correct.
4 Both Statements are incorrect.
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361141 It is difficult to fill a capillary tube with mercury than with water since

1 Angle of contact between glass & mercury is more than \(90^{\circ}\) and the angle of contact between glass and water is less than \(90^{\circ}\).
2 Angle of contact is between glass and mercury is less than \(90^{\circ}\) and the angle of contact between glass and water is more than \(90^{\circ}\).
3 Angle of contact is same for both water and mercury.
4 Mercury is less dense than water.
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361142 What is the diameter of a capillary tube in which mercury is depressed by \(1.21\;cm\) and surface tension for mercury is \(540 \times {10^{ - 3}}N{m^{ - 1}}\) the angle of constant is \(120^{\circ}\) and density of mercury is
\(13.6 \times {10^3}\;kg\;{m^{ - 3}}?\)

1 \(0.06\;mm\)
2 \(2\;mm\)
3 \(10\;mm\)
4 \(0.67\;mm\)