Let's break down and solve the given expression step by step:

$0.5 \times AL \left[ (16 - 3 - \frac{11}{27.6} - 11) \log \left( \frac{0.4}{0.2} \right) \right] \times 10$

Step 1: Simplify the inner expression

1. $\frac{0.4}{0.2} = 2$
2. $\log(2) \approx 0.3010$

Now simplify the arithmetic expression inside the parentheses:

$16 - 3 = 13$ $\frac{11}{27.6} \approx 0.3986$ $13 - 0.3986 - 11 = 1.6014$

Now the expression looks like this:

$0.5 \times AL \left[ 1.6014 \times 0.3010 \right] \times 10$

Step 2: Multiply the terms inside the brackets:

$1.6014 \times 0.3010 \approx 0.4820$

So now we have:

$0.5 \times AL(0.4820) \times 10$

Step 3: Multiply the constants:

$0.5 \times 10 = 5$

Thus, the expression becomes:

$5 \times AL(0.4820)$

Without knowing the value of $AL$, we can't compute the final result, but the simplified expression is:

$5 \times AL(0.4820)$

Let me know if you'd like more details or help with this! Here are five related questions:

1. How does the logarithmic function behave with different bases?
2. What is the significance of the constant AL in your equation?
3. How do logarithmic identities simplify more complex expressions?
4. How does precision impact the final results in calculations like this?
5. What are common applications of logarithmic functions in physics?

Tip: Always double-check if constants or variables like $AL$ are defined beforehand in specific contexts.