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MHT CET · Physics · Mechanical Properties of Fluids

Two capillary tubes of same diameter are kept vertically in two liquids whose densities are in the ratio \(4: 3\). If their surface tensions are in the ratio 6:5, the ratio of heights \(\left(\frac{h_1}{h_2}\right)\) of liquids in the two capillary tubes is (Their angle of contacts are same)

  1. A \(\frac{10}{7}\)
  2. B \(\frac{9}{10}\)
  3. C \(\frac{10}{9}\)
  4. D \(\frac{1}{2}\)
Verified Solution

Answer & Solution

Correct Answer

(B) \(\frac{9}{10}\)

Step-by-step Solution

Detailed explanation

\(h = \frac{2T \cos\theta}{r \rho g}\) \(\frac{h_1}{h_2} = \frac{T_1}{T_2} \times \frac{\rho_2}{\rho_1}\)
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