A small hole of area of cross-section 2mm^(2) is present near of the bottom of a fully filled open tank of height 2m. Taking g= 10 m//s^(2), the rate of flow of water through the open hole would be nearly:

A small hole of area of cross-section 2mm^(2) is present near of the b

1.	A small hole of area of cross-section 2mm^(2) is present near of the bottom of a fully filled open tank of height 2m. Taking g= 10 m//s^(2), the rate of flow of water through the open hole would be nearly:
Answer» `6.4 XX 10^(-6) m^(3)//s` `12.6 xx 10^(-6) m^(3)//s` `8.9 xx 10^(-6) m^(3)//s` `2.23 xx 10^(-6) m^(3)//s` Solution :Velocity of water COMING out of hole, `v= sqrt(2gh)` Time rate of flow of water, = AV `=A sqrt(2gh)` `=(2 xx 10^(-6)) (2 xx 10 xx 2)^(½)` `=4 sqrt10 xx 10^(-6)` `=4 xx 3.16 xx 10^(-6)` `=12.64 xx 10^(-6)` `~~ 12.6 xx 10^(-6) m^(3)//s`