High School

If 'm' is the mass of water that rises in a capillary tube of radius 'r', then the mass of water which will rise in a capillary tube of radius '2r' is:

A) 2m
B) 4m
C) 8m
D) 16m

Answer :

Final answer:

The mass of water rising in a capillary tube of radius '2r' would be four times greater than that of a tube with a radius 'r', therefore the correct answer is B) 4m.

Explanation:

The question pertains to the capillary rise of water in tubes of different radii.

Using the concept of capillary action, we can deduce that the mass of water that rises will be proportional to the cross-sectional area of the tube, which is determined by the formula πr2.

As the radius doubles, the cross-sectional area increases by a factor of 4 (since Area = π(2r)2 = 4πr2).

Thus, for a capillary tube with a radius of '2r', the mass of water that rises would be four times greater than that in a tube with a radius 'r', making the answer B) 4m.