By the method of dimensions, test the accuracy of the equation : `delta = (mgl^3)/(4bd^3Y)` where `delta` is depression in the middle of a bar of length I, breadth b, depth d, when it is loaded in the middle with mass m. Y is Young's modulus of meterial of the bar.

Explanation

To test the accuracy of the equation \(\delta = \frac{mgl^3}{4bd^3Y}\) using the method of dimensions, we will analyze both sides of the equation to check if they have the same dimensions.

### Step 1: Identify the dimensions of each variable

1. **Depression (\(\delta\))**: This is a measure of length, so its dimension is:
\[ [\delta] = L \]
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