Surface Tension
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PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361216 On heating water, bubbles beings formed at the bottom of the vessel detach and rise. Take the bubbles to be spheres of radius \(R\) and making a circular contact of radius \(r\) with the bottom of vessel. If \(r < < R\) and the surface tension of water is \(T\), value of \(r\) just before bubbles detach is (density of water is \(\rho\) )
supporting img

1 \(R^{2} \sqrt{\dfrac{2 \rho_{w} g}{3 T}}\)
2 \(R^{2} \sqrt{\dfrac{\rho_{w} g}{6 T}}\)
3 \(R^{2} \sqrt{\dfrac{\rho_{w} g}{T}}\)
4 \(R^{2} \sqrt{\dfrac{3 \rho_{w} g}{T}}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361217 There is a small hole in a hollow sphere. When it is taken to a depth of \(20\;cm\) under water, water enters in it. If the surface tension of water is \(0.07\;N{\rm{/}}m,\) the radius of the hole in \(\mu m\) is
(Take \(g = 10\;m{\rm{/}}{s^2}\))

1 \(80\,\mu m\)
2 \(60\,\mu m\)
3 \(70\,\mu m\)
4 \(40\,\mu m\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361218 A soap bubble with a radius ' \(r\) ' is placed on another bubble with a radius \(R\) (figure). Angles between the films at the points of contact will be
supporting img

1 \(120^{\circ}\)
2 \(30^{\circ}\)
3 \(45^{\circ}\)
4 \(90^{\circ}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361219 If two soap bubbles of different radii are connected by a tube.

1 Air flows from the bigger bubbles to the smaller bubble till the sizes become equal.
2 Air flows from bigger bubble to the smaller bubble till the sizes are interchanged
3 Air flows from the smaller bubble to the bigger.
4 There is no flow of air.
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PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361216 On heating water, bubbles beings formed at the bottom of the vessel detach and rise. Take the bubbles to be spheres of radius \(R\) and making a circular contact of radius \(r\) with the bottom of vessel. If \(r < < R\) and the surface tension of water is \(T\), value of \(r\) just before bubbles detach is (density of water is \(\rho\) )
supporting img

1 \(R^{2} \sqrt{\dfrac{2 \rho_{w} g}{3 T}}\)
2 \(R^{2} \sqrt{\dfrac{\rho_{w} g}{6 T}}\)
3 \(R^{2} \sqrt{\dfrac{\rho_{w} g}{T}}\)
4 \(R^{2} \sqrt{\dfrac{3 \rho_{w} g}{T}}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361217 There is a small hole in a hollow sphere. When it is taken to a depth of \(20\;cm\) under water, water enters in it. If the surface tension of water is \(0.07\;N{\rm{/}}m,\) the radius of the hole in \(\mu m\) is
(Take \(g = 10\;m{\rm{/}}{s^2}\))

1 \(80\,\mu m\)
2 \(60\,\mu m\)
3 \(70\,\mu m\)
4 \(40\,\mu m\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361218 A soap bubble with a radius ' \(r\) ' is placed on another bubble with a radius \(R\) (figure). Angles between the films at the points of contact will be
supporting img

1 \(120^{\circ}\)
2 \(30^{\circ}\)
3 \(45^{\circ}\)
4 \(90^{\circ}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361219 If two soap bubbles of different radii are connected by a tube.

1 Air flows from the bigger bubbles to the smaller bubble till the sizes become equal.
2 Air flows from bigger bubble to the smaller bubble till the sizes are interchanged
3 Air flows from the smaller bubble to the bigger.
4 There is no flow of air.
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PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361216 On heating water, bubbles beings formed at the bottom of the vessel detach and rise. Take the bubbles to be spheres of radius \(R\) and making a circular contact of radius \(r\) with the bottom of vessel. If \(r < < R\) and the surface tension of water is \(T\), value of \(r\) just before bubbles detach is (density of water is \(\rho\) )
supporting img

1 \(R^{2} \sqrt{\dfrac{2 \rho_{w} g}{3 T}}\)
2 \(R^{2} \sqrt{\dfrac{\rho_{w} g}{6 T}}\)
3 \(R^{2} \sqrt{\dfrac{\rho_{w} g}{T}}\)
4 \(R^{2} \sqrt{\dfrac{3 \rho_{w} g}{T}}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361217 There is a small hole in a hollow sphere. When it is taken to a depth of \(20\;cm\) under water, water enters in it. If the surface tension of water is \(0.07\;N{\rm{/}}m,\) the radius of the hole in \(\mu m\) is
(Take \(g = 10\;m{\rm{/}}{s^2}\))

1 \(80\,\mu m\)
2 \(60\,\mu m\)
3 \(70\,\mu m\)
4 \(40\,\mu m\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361218 A soap bubble with a radius ' \(r\) ' is placed on another bubble with a radius \(R\) (figure). Angles between the films at the points of contact will be
supporting img

1 \(120^{\circ}\)
2 \(30^{\circ}\)
3 \(45^{\circ}\)
4 \(90^{\circ}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361219 If two soap bubbles of different radii are connected by a tube.

1 Air flows from the bigger bubbles to the smaller bubble till the sizes become equal.
2 Air flows from bigger bubble to the smaller bubble till the sizes are interchanged
3 Air flows from the smaller bubble to the bigger.
4 There is no flow of air.
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PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361216 On heating water, bubbles beings formed at the bottom of the vessel detach and rise. Take the bubbles to be spheres of radius \(R\) and making a circular contact of radius \(r\) with the bottom of vessel. If \(r < < R\) and the surface tension of water is \(T\), value of \(r\) just before bubbles detach is (density of water is \(\rho\) )
supporting img

1 \(R^{2} \sqrt{\dfrac{2 \rho_{w} g}{3 T}}\)
2 \(R^{2} \sqrt{\dfrac{\rho_{w} g}{6 T}}\)
3 \(R^{2} \sqrt{\dfrac{\rho_{w} g}{T}}\)
4 \(R^{2} \sqrt{\dfrac{3 \rho_{w} g}{T}}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361217 There is a small hole in a hollow sphere. When it is taken to a depth of \(20\;cm\) under water, water enters in it. If the surface tension of water is \(0.07\;N{\rm{/}}m,\) the radius of the hole in \(\mu m\) is
(Take \(g = 10\;m{\rm{/}}{s^2}\))

1 \(80\,\mu m\)
2 \(60\,\mu m\)
3 \(70\,\mu m\)
4 \(40\,\mu m\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361218 A soap bubble with a radius ' \(r\) ' is placed on another bubble with a radius \(R\) (figure). Angles between the films at the points of contact will be
supporting img

1 \(120^{\circ}\)
2 \(30^{\circ}\)
3 \(45^{\circ}\)
4 \(90^{\circ}\)
PHXI10:MECHANICAL PROPERTIES OF FLUIDS

361219 If two soap bubbles of different radii are connected by a tube.

1 Air flows from the bigger bubbles to the smaller bubble till the sizes become equal.
2 Air flows from bigger bubble to the smaller bubble till the sizes are interchanged
3 Air flows from the smaller bubble to the bigger.
4 There is no flow of air.
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