Questions: d = (8 * 2.97 m * 635 * 10^-9 m) / 0.081 m =

Solution Steps

We are given the following values in the problem:

• \(8\) (a constant multiplier)
• \(2.97 \, \text{m}\)
• \(635 \times 10^{-9} \, \text{m}\)
• \(0.081 \, \text{m}\)

The formula provided is: \[ d = \frac{8 \times 2.97 \, \text{m} \times 635 \times 10^{-9} \, \text{m}}{0.081 \, \text{m}} \]

First, calculate the product in the numerator: \[ 8 \times 2.97 \times 635 \times 10^{-9} = 8 \times 2.97 \times 635 \times 0.000000635 \]

Calculate step-by-step:

• \(8 \times 2.97 = 23.76\)
• \(23.76 \times 635 = 15084.6\)
• \(15084.6 \times 10^{-9} = 0.0000150846\)

Now, divide the result by the denominator: \[ d = \frac{0.0000150846}{0.081} \]

Calculate the division: \[ d = 0.000186858 \]

Round the result to four significant digits: \[ d = 0.0001869 \]

Final Answer