A large tank filled with water to a height h is to be emptied through a small hole at the bottom. The ratio of time taken for the level of water to fall from h to h 2 and from h 2 to zero is

Step-by-step solution

Time taken for the level to fall from H to H' t = A A 0 2 g H - H ′ According to problem the time taken for the level to fall from h to h 2 t 1 = A A 0 2 g [ h - h 2 ] and similarly time taken for the level to fall from h 2 t 2 = A A 0 2 g [ h 2 - 0 ] ∴ t 1 t 2 = 1 - 1 2 1 2 - 0 = 2 - 1