Fluid Mechanics

JEE Main level, single correct, medium

140 of 192

Question 140 of 192

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

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Answer: (B) 2M2M

Mass of liquid rising in tube =ρAh=\rho Ah
m=ρπr2(2Tcos⁡⁡θρgr)m=\rho \pi {r}^{2}\left(\dfrac{2T\cos ⁡\theta }{\rho gr}\right)
m∝rm\propto r
Mass of liquid rise in tube will become 2M2M

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