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Physics · PYQ NEET UG 2020

हिन्दी

A capillary tube of radius r is immersed in water and water rises in it to a height h. The mass of the water in the capillary is \( 5\text{ g} \). Another capillary tube of radius \( 2r \) is immersed in water. The mass of water that will rise in this tube is:

  1. \( 5.0\text{ g} \)
  2. \( 10.0\text{ g} \)
  3. \( 20.0\text{ g} \)
  4. \( 2.5\text{ g} \)

Correct answer · Option 2

\( 10.0\text{ g} \)

Explanation

Mass \( m = \pi r^2 h \rho \). Since \( h \propto \frac{1}{r} \), we have \( h' = \frac{h}{2} \). Thus, \( m' = \pi (2r)^2 (\frac{h}{2}) \rho = 2(\pi r^2 h \rho) = 2m = 2 \times 5\text{ g} = 10.0\text{ g} \).
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