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Question: Answered & Verified by Expert
Water rises in a capillary tube to a certain height such that the upward force due to surface tension is balanced by $75 \times 10^{-4} \mathrm{~N}$ force due to the weight of the liquid. If the surface tension of water is $6 \times 10^{-2} \mathrm{Nm}^{-1}$, the inner circumference of the capillary must be
PhysicsMechanical Properties of FluidsJEE Main
Options:
  • A $\quad 1.25 \times 10^{-2} \mathrm{~m}$
  • B $0.50 \times 10^{-2} \mathrm{~m}$
  • C $6.5 \times 10^{-2} \mathrm{~m}$
  • D $12.5 \times 10^{-2} \mathrm{~m}$
Solution:
1911 Upvotes Verified Answer
The correct answer is: $12.5 \times 10^{-2} \mathrm{~m}$
$6 \times 10^{-2} \times$ Circumference $=$ Force
$\therefore$ Circumference $=\frac{75 \times 10^{-4}}{6 \times 10^{-2}}=12.5 \times 10^{-2} \mathrm{~m}$

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