The cylindrical tube of a spray pump has a radius R, one end of which has n fine holes…

Physics · JEE Advanced · NTA ExamsProperties of Solids and Liquids

The cylindrical tube of a spray pump has a radius R, one end of which has n fine holes, each of radius r. If the speed of flow of the liquid in the tube is V, the speed of ejection of the liquid through the holes is
  1. \(\frac{\mathrm{V}}{\mathrm{n}}\left(\frac{\mathrm{R}}{\mathrm{r}}\right)^{1 / 2}\)
  2. \(\frac{\mathrm{V}}{\mathrm{n}}\left(\frac{\mathrm{R}}{\mathrm{r}}\right)\)
  3. \(\frac{V}{n}\left(\frac{R}{r}\right)^{3 / 2}\)
  4. \(\frac{\mathrm{V}}{\mathrm{n}}\left(\frac{\mathrm{R}}{\mathrm{r}}\right)^{2}\)

Answer

(D) V n ( R r )^ 2

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