Final answer:
To find the wavelength of light, the equation for double-slit interference must be utilized while knowing the slit separation (d). Without such information, one cannot solve for the exact value of the wavelength from the given options.
Step-by-step explanation:
The question provided relates to the concept of diffraction and interference of light through a double-slit arrangement in physics. Using the double-slit interference formula:
m λ = d sin(θ)
where m is the order of the maximum, λ is the wavelength of light, d is the slit separation, and θ is the angular position of the maximum.
In this case, we're given:
- The order (m) is the third maximum so it's 3.
- The angular position (θ) is 0.57°.
However, we're missing the slit separation (d), which isn't provided in the question. Assuming that the slit separation is known or the same as in the 'preceding problem' mentioned in the question, we could find the wavelength (λ) using the formula after converting the angle to radians:
λ = (d sin(θ)) / m
Once the value for d is available and the angle is converted to radians (using the conversion factor that π radians = 180°), we can solve for the wavelength of light. Without the value of d, we cannot determine the exact wavelength from the options provided.