- #1

zorro

- 1,384

- 0

## Homework Statement

A tank is filled with water to a depth of 1m. A hole of cross section 1 cm^2 at the bottom allows the water to drain out. At what distance below the hole the cross sectional area of the stream is 0.9 times the area of the hole.

## Homework Equations

## The Attempt at a Solution

Applying Bernoulli's Theorem to the cross section of water stream just outside the hole to a depth 'x'

Patm + ρgh + 1/2 ρv1^2 = Patm + 1/2 ρv2^2

h=1m v1= (2gh)^0.5

v2=v1/0.9 (from equation of continuity)

On solving I got x as 0.46 m (app)

But the answer is 0.23 m

What is wrong?

Any ideas appreciated.