Short Answer 
To calculate the positions of minima and maxima in a single-slit diffraction pattern, first understand the parameters: wavelength (600 nm), slit width (0.2 mm), and distance to screen (1 m). Use the formula ( x = frac{m cdot lambda cdot L}{d} ) to find the first minimum at 3 mm and the second maximum at 6 mm from the central maximum.
Step 1: Understand the Parameters
To begin calculating the positions of minima and maxima in a single-slit diffraction pattern, familiarize yourself with the essential parameters. You’ll need:
- Wavelength (Ő): Given as 600 nm (600 x 10-9 m).
- Slit width (d): Given as 0.2 mm (0.2 x 10-3 m).
- Distance to screen (L): Given as 1 m.
Step 2: Use the Formula for Position Calculation
The position of the minima and maxima can be determined using the formula:
x = (m * Ő * L) / d
Where:
- x: Distance from the central maximum to the minimum or maximum.
- m: Order of the minimum/maximum (1 for first minimum, 2 for second maximum).
- Ő: Wavelength of light.
- L: Distance between the slit and the screen.
- d: Width of the slit.
Step 3: Perform the Calculations
Now, apply the formula to find the distances:
- First Minimum (m = 1): Use the formula to calculate. Result: x‚ÄöCA = 3 mm.
- Second Maximum (m = 2): Again, apply the formula. Result: x‚ÄöCC = 6 mm.
This means the first minimum is 3 mm away, while the second maximum is 6 mm away from the central maximum in the diffraction pattern.