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A cylindrical container containing water...

A cylindrical container containing water has a small hole at height of H = 8 cm from the bottom and at a depth of 2 cm from the top surface of the liquid. The maximum horizontal distance travelled by the water before it hits the ground (x) is

A

`4` cm

B

`8` cm

C

`6` cm

D

`4sqrt2` cm

Text Solution

Verified by Experts

The correct Answer is:
B

(b): Velocity of water coming out of the hole
`v= sqrt(2gh) = sqrt(2xx9.8xx2) = 6.26`
Time required to fall = `sqrt((2H)/g) = sqrt((2xx8)/(9.8)) = 1.277`
Distance covered by water = `6.26 xx 1.277 = 8` cm
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