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A water tank of height `H`, completely filled with water is placed on a level ground. It has two holes one at a depth `h` from top and the other at height `h` form its base. The water ejecting from both holesA. both the holes will fall at the same spotB. upper hole will fall farther than that form the lower holeC. upper hole will fall closer than that form the lower holeD. more information is required. |
Answer» Correct Answer - A Velocity of water coming out from hole `A` v_(1) = sqrt(2gh)` Velocity of water coming out from hole B `=v_(2)=sqrt(2g(H-h))` Time taken by water to reach the ground from hole `A` `=t_(1) = sqrt(2(H-h)//g)` Time taken by water to reach the ground from hole `B` `=t_(2) = sqrt(2h//g)` Obviously, range on the ground for both is the same `:. R = v_(1)t_(1) = v_(2)t_(2) = 2gsqrt(h(H-h))`. |
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