Understanding the Answer of 2sqrt(2)x - 2x = 2.5cm: 6.04cm

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In summary, the equation 2sqrt(2)x - 2x = 2.5cm: 6.04cm represents a mathematical relationship between two variables, where 2sqrt(2)x is equal to 2x plus 2.5cm and 6.04cm is the solution to the equation. To solve the equation, you can first combine like terms by subtracting 2x from both sides. This will leave you with the equation sqrt(2)x = 2.5cm: 6.04cm. The significance of the square root in the equation is that it represents the inverse operation to the exponent of 2 and allows for the isolation of the variable x. There is only one solution
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apchemstudent
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The answer to the attachment is 6.04 cm. But the intensity should be zero when the difference in path length is half a wavelength.

2sqrt(2)x - 2x = 2.5cm

x = 3.02 cm. However, how come the answer is 6.04cm in stead? Can some one please explain this to me thoroughly? Thanks in advance.
 

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can anyone explain this? thanks...
 
  • #3
The overall phase change due to reflection off the mirrors is 180, thus the path difference needs to be the wavelenth, not 1/2.
 

FAQ: Understanding the Answer of 2sqrt(2)x - 2x = 2.5cm: 6.04cm

1. What does the equation 2sqrt(2)x - 2x = 2.5cm: 6.04cm represent?

The equation represents a mathematical relationship between two variables, where 2sqrt(2)x is equal to 2x plus 2.5cm and 6.04cm is the solution to the equation.

2. How do you solve the equation 2sqrt(2)x - 2x = 2.5cm: 6.04cm?

To solve the equation, you can first combine like terms by subtracting 2x from both sides. This will leave you with the equation sqrt(2)x = 2.5cm: 6.04cm. Then, divide both sides by sqrt(2) to isolate the variable x. The solution to the equation is x = 6.04cm.

3. What is the significance of the square root in the equation 2sqrt(2)x - 2x = 2.5cm: 6.04cm?

The square root in the equation represents the inverse operation to the exponent of 2. It is used to cancel out the squared term on the left side of the equation, allowing for the isolation of the variable x.

4. Is there more than one solution to the equation 2sqrt(2)x - 2x = 2.5cm: 6.04cm?

No, there is only one solution to the equation. This can be verified by substituting the value of x back into the original equation and solving for both sides, which will result in the same value of 6.04cm.

5. Can the equation 2sqrt(2)x - 2x = 2.5cm: 6.04cm be solved using a calculator?

Yes, the equation can be solved using a calculator. However, it is important to use the correct order of operations and input the equation correctly to get the correct solution. It is always recommended to double check the solution by substituting it back into the original equation.

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