Two capillary tubes A and B of radii r a and r b and lengths  a and  b respectively are…

Physics · JEE Advanced · NTA ExamsProperties of Solids and Liquids

Two capillary tubes A and B of radii ra and rb and lengths a and b respectively are held horizontally. The volume of water flowing per second through tube A is Qa when the pressure difference across its ends is maintained at P. When the same pressure difference is maintained across tube B, the volume of water flowing per second through it is Qb. The ratio Qa/Qb is
  1. \(\frac{\ell_{b}}{\ell_{a}}\left(\frac{r_{a}}{r_{b}}\right)\)
  2. \[\frac{\ell_{b}}{\ell_{a}}\left(\frac{r_{a}}{r_{b}}\right)^{2}\]
  3. \[\frac{\ell_{b}}{\ell_{a}}\left(\frac{r_{a}}{r_{b}}\right)^{3}\]
  4. \[\frac{\ell_{b}}{\ell_{a}}\left(\frac{r_{a}}{r_{b}}\right)^{4}\]

Answer

(D) _ b _ a ( r_ a r_ b )^ 4

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