Interference Pattern Bright Fringes Calculation

During a physics laboratory experiment, a student observes a beam of light passing through a double-slit apparatus, creating an interference pattern on a distant screen. The wavelength of the light used is 500 nm, and the distance between the slits is 0.2 mm. If the distance from the slits to the screen is 1.0 m, the student seeks to find the distance between the first-order and second-order bright fringes on the screen.

The student recalls that the position of the m-th order bright fringe is given by the formula:

y_m = (mλL) / d

where:

• y_m is the distance from the central maximum to the m-th order maximum,
• λ is the wavelength of the light,
• L is the distance from the slits to the screen, and
• d is the distance between the slits.

What is the distance between the first-order and second-order bright fringes in millimeters?