Water rises in the two capillaries of the same material up to a height of \(30\) and \(60 \mathrm{~mm} \text {. }\)The ratio of the radii of the capillaries is: (Assume \(h> > r\))
1. \(2: 1\)
2. \(3: 5\)
3. \(5: 4\)
4. \(4: 7\)
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The pressure difference on two sides of the curved liquid surface is due to:
1. surface tension
2. buoyancy
3. viscosity
4. None of these
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Given below are two statements: 
Assertion (A): Water rises higher in a capillary tube with a small diameter than in the one with a large diameter.
Reason (R): The height to which a liquid rises in a capillary tube is inversely proportional to the diameter of the capillary tube.
 
1. Both (A) and (R) are True and (R) is the correct explanation of (A).
2. Both (A) and (R) are True but (R) is not the correct explanation of (A).
3. (A) is True but (R) is False.
4. (A) is False but (R) is True.
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A capillary tube of radius \(0.20\) mm is dipped vertically in the water. The height of the water column raised in the tube will be:
(Surface tension of water\(=0.075\) N/m and density of water \(=1000\) kg/m3. Take \(g=10\) m/s2 and contact angle \(0^\circ.\))
1. \(7.5\text{ cm}\)
2. \(6\text{ cm}\)
3. \(5\text{ cm}\) 
4. \(3\text{ cm}\)

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In a surface tension experiment with a capillary tube, the water rises up to height \(h.\) Choose the correct statement from the following options:
1. In a lift moving upward with acceleration, height is less than \(h.\)
2. In a lift moving downward with acceleration, height is more than \(h.\)
3. On the surface of the moon with acceleration \( (\leq g),\) the height is more than \(h.\)
4. All of the above are correct.
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When a long glass capillary tube of radius \(0.015~\text{cm}\) is dipped in a liquid, the liquid rises to a height of \(15~\text{cm}\) within it. If the contact angle between the liquid and glass to close to \(0^\circ\), the surface tension of the liquid, in milliNewton m–1, is:\(\left[\rho_{\text {(liquid) }}=900 \mathrm{~kgm}^{-3}, \mathrm{~g}=10 \mathrm{~ms}^{-2}\right] \) (Give answer in closest integer).
1. \(200\)
2. \(101\)
3. \(402\)
4. \(325\)

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JEE
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The angle of contact at the interface of the water glass is \(0^{\circ},\) ethyl-alcohol glass is \(0^{\circ},\) mercury-glass is \(140^{\circ}\) and methyl iodide-glass is \(30^{\circ}.\) A glass capillary is put in a trough containing one of these four liquids is observed that the meniscus is convex. The liquid in the trough is:
1. water
2. ethyl alcohol
3. mercury
4. methyl iodide

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The height to water will rise in a capillary tube of diameter \(1 \times 10^{-3} \mathrm{~m}\) is: 
[Given : surface tension of water = \(0.072 \mathrm{~N} / \mathrm{m}\), angle of contact = \(0^{\circ}, g=9.8 \mathrm{~m} / \mathrm{s}^2, \rho_{\text {water }}=10^3 \mathrm{~kg} / \mathrm{m}^3\)]
1. \(2.94 \times 10^{-2} \mathrm{~m}\)
2. \(4.2 \times 10^{-2} \mathrm{~m}\)
3. \(1.26 \times 10^{-2} \mathrm{~m}\)
4. \(5.26 \times 10^{-2} \mathrm{~m}\)
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If the surface tension of water is 0.06 Nm-1, then the capillary rise in a tube of diameter 1 mm is ( θ=0° )

1. 1.22 cm                               

2. 2.44 cm

3. 3.12 cm                               

4. 3.86 cm

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Water rises to a height h in capillary tube . If the length of capillary tube is above the surface of water is made less than h, then

1. water rises upto the tip of capillary tube and then starts overflowing like a fountain

2. water rises upto the top of capillary tube and stays there without overflowing

3. water rises upto a point a little below the top and stays there

4. water does not rise at all

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NEET - 2015
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