A area of cross section of a large tank is `0.5m^2`. It has an opening near the bottom having area of cross section `1cm^2`. A load of 20 kg is applied on the water at the top. Find the velocity of the water coming out of the opening at the time when the height of water level is 50 cm above the bottom. Take `g=10ms^-2`

Explanation

To find the velocity of the water coming out of the opening at the bottom of the tank, we can use Bernoulli's equation. Let's break down the solution step by step.

### Step 1: Understand the Problem
We have a large tank with a cross-sectional area of \(0.5 \, \text{m}^2\) and an opening at the bottom with a cross-sectional area of \(1 \, \text{cm}^2\) (which is \(0.0001 \, \text{m}^2\)). A load of \(20 \, \text{kg}\) is applied to the water at the top, and we need to find the velocity of the water exiting the opening when the height of the water level is \(50 \, \text{cm}\) (or \(0.5 \, \text{m}\)) above the bottom of the tank.

### Step 2: Apply Bernoulli's Equation
We will apply Bernoulli's equation between two points: point A (the top of the water) and point B (the opening at the bottom).

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