Water in a vessel of uniform cross-section escapes through a narrow tube at the base of the vessel. Which graph given below represents the variation of the height of the liquid with time? a)b)c)d) |

Water in a vessel of uniform cross-section escapes through a narrow tube at the base of the vessel. Which graph given below represents the variation of the height of the liquid with time? a)b)c)d) |

1 Answer

127 votes

Let at a time be the decrease in volume of water in vessel in time. Therefore rate of decreases of water in vessel = rate of water flowing out of narrow tube So But Where Volume of water in vessel at a time Or Where constant Integrating it within the limits as time changes 0 to , volume changes to Or or Where initial volume of water in vessel Therefore, or Thus, the variation of and will be represented by exponential curve as given by (a) |

127 votes

127