SUMMARY
The maximum order number for red light (630 nm) illuminating a double slit with a separation of 3.0 x 105 m is calculated using the equation mλ = d*sinθ. The textbook answer is 4.76 x 1011. The confusion arises from the need to consider the maximum value of sinθ, which is 1, and to avoid small angle approximations when applying the equations. Proper application of these principles leads directly to the correct solution.
PREREQUISITES
- Understanding of wave optics principles
- Familiarity with the double-slit experiment
- Knowledge of the sine function and its maximum value
- Ability to manipulate equations involving wavelength and slit separation
NEXT STEPS
- Study the derivation of the double-slit interference pattern
- Learn about the implications of the small angle approximation in wave optics
- Explore the relationship between wavelength, slit separation, and interference order
- Investigate the effects of varying light wavelengths on interference patterns
USEFUL FOR
Students studying wave optics, physics educators, and anyone interested in understanding the principles of light interference and the double-slit experiment.