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Q.

Two capillary tubes of same material dipped are placed vertically in the same liquid. If their radii are in the ratio of 2:3, the ratio of rise of liquid in the tubes is 

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a

3:2

b

4:9

c

2:3

d

9:4

answer is B.

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Detailed Solution

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  • Expression for capillary rise h=2Tcosθrρg
  • All other factors are equivalent if two capillary tubes are made of the same material and are positioned vertically. 
  • Gravity, tension, and angle of contact with respect to the surface are all equal.
  • Currently, the formula states that the relationship between h (height) and r is inverse (radius of tube). 
  • The ratio of the height of the liquid column would be 3:2 if the ratio of the radii is 2:3.

Hence the correct answer is 3:2.

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