- 1(current)
Q. No.If \(M\) is the mass of water that rises in a capillary tube of radius \(r,\) then mass of water which will rise in a capillary tube of radius \(2r\) is:
1. \(M\)
2. \(4M\)
3. \(M/2\)
4. \(2M\)
A capillary tube made of glass of radius \(0.15 ~\text{mm}\) is dipped vertically in a beaker filled with methylene iodide (surface tension \(=0.05 ~\text{Nm}^{-1},\) density \(=667~\text{kg m}^{-3}\)) which rises to height \(h\) in the tube. It is observed that the two tangents drawn from liquid-glass interfaces (from opp. sides of the capillary) make an angle of \(60^\circ\) with one another. Then \(h\) is close to:
(take \(g = 10~\text{m/s}^2\))
1. \(0.137~\text{m}\)
2. \(0.172~ \text{m}\)
3. \(0.087 ~\text{m}\)
4. \(0.049 ~\text{m}\)
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 nearly:\(\left[\rho_{\text {(liquid) }}=900 \mathrm{~kgm}^{-3}, \mathrm{~g}=10 \mathrm{~ms}^{-2}\right] \)
1. \(200\)
2. \(101\)
3. \(402\)
4. \(325\)
| Statement I: | A capillary tube is first dipped in hot water and then in cold water. The water rises higher in the hot water. |
| Statement II: | A capillary tube is first dipped in cold water and then in hot water. The water rises higher in the cold water. |
| 1. | Statement I is correct and Statement II is incorrect. |
| 2. | Statement I is incorrect and Statement II is correct. |
| 3. | Both Statement I and Statement II are correct. |
| 4. | Both Statement I and Statement II are incorrect. |
| Statement -I | The contact angle between a solid and a liquid is a property of the material of the solid and liquid as well. |
| Statement -II | The rise of a liquid in a capillary tube does not depend on the inner radius of the tube. |
| 1. | Statement I is false but Statement II is true. |
| 2. |
Both Statement I and Statement II are false.
|
| 3. |
Both Statement I and Statement II are true.
|
| 4. |
Statement I is true but Statement II is false.
|
(Take surface tension of water \(T = 7.3 × 10^{–2}~ \text {N m}^{–1} ,\) angle of contact \(= 0, g = 10 ~\text{m s}^{–2}\) and density of water \(= 1.0 × 10^3 ~\text{kg m}^{–3}\))
1. \(2.19~\text{mm}\)
2. \(4.97~\text{mm}\)
3. \(5.34~\text{mm}\)
4. \(3.62~\text{mm}\)
| 1. | \({h}_1<{h}_2\) and \({T}_1={T}_2\) |
| 2. | \({h}_1={h}_2\) and \({T}_1={T}_2\) |
| 3. | \({h}_1>{h}_2\) and \({T}_1={T}_2\) |
| 4. | \({h}_1>{h}_2\) and \({T}_1<{T}_2\) |
| 1. | \(K\) is negative, then liquid \(A\) and liquid \(B\) have convex meniscus. |
| 2. | \(K\) is zero, then liquid \(A\) has convex meniscus and liquid \(B\) has concave meniscus. |
| 3. | \(K\) is negative, then liquid \(A\) has concave meniscus and liquid \(B\) has convex meniscus. |
| 4. | \(K\) is negative, then liquid \(A\) and liquid \(B\) have concave meniscus. |
1. \(\dfrac{57}{2}\)
2. \(\dfrac{71}{5}\)
3. \(\dfrac{68}{5}\)
4. \(\dfrac{82}{5}\)
- 1(current)
Q. No.
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