Solveeit Logo
Login

Question

Question: Water rises in a capillary tube to a certain height such that the upward force due to surface tensio...

Water rises in a capillary tube to a certain height such that the upward force due to surface tension is balanced by 75×10−4N75 \times 10^{- 4}N force due to the weight of the liquid. If the surface tension of water is 6×10−2N/m6 \times 10^{- 2}N/m, the inner circumference of the capillary must be

A

1.25×10−2m1.25 \times 10^{- 2}m

B

0.50×10−2m0.50 \times 10^{- 2}m

C

6.5×10−2m6.5 \times 10^{- 2}m

D

12.5×10−2m12.5 \times 10^{- 2}m

Answer

12.5×10−2m12.5 \times 10^{- 2}m

Explanation

Solution

Weight of liquid = upward force due to surface tension

75×10−4=2πrT75 \times 10^{- 4} = 2\pi rT

Circumference 2πr=75×10−4T=75×10−46×10−2=0.1252\pi r = \frac{75 \times 10^{- 4}}{T} = \frac{75 \times 10^{- 4}}{6 \times 10^{- 2}} = 0.125

= 12.5×10−2m12.5 \times 10^{- 2}m