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InterviewSolution
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A water hose pipe of cross-sectional area `5cm^(2)` is used to fill a tank of `120L`. It has been observed that it takes 2 min to fill the tank. Now, a nozzel with an opening of cross-sectional area `1cm^(2)` is attached to the hose. The nozzel is held so that water is projected horizontally from a point 1m above the ground. The horizontal distance over which the water can be projected is (Take `g=10m//s^(2))`.A. `3m`B. `8m`C. `4.47m`D. `8.64 m` |
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Answer» Correct Answer - C Volume flow rate `=av=(V)/(t)` `:. v_(1)=(V)/(A_(1) t)=(120xx10^(-3))/(5xx10^(-4)xx2xx60)` Now, `A_(1)v_(1)=A_(2)v_(2)` `A_(2)` is `(1)/(5)`th of `A_(1)`. Hence, `v_(2)` is five times of `v_(1)` or `10m//s` `t_(0)=sqrt((2h)/(g))=sqrt((2xx1)/(10))` `=0.447s` `R=v_(2)t_(0)=4.47m`. |
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