Destructive interference for a double slit

Definition

Destructive interference for a double slit occurs when waves from two slits arrive at a point out of phase, resulting in a reduction or cancellation of wave amplitude. This leads to dark fringes on an interference pattern.

5 Must Know Facts For Your Next Test

1. Occurs when the path difference between waves from the two slits is an odd multiple of half wavelengths, i.e., $(2m+1)\frac{\lambda}{2}$ where $m$ is an integer.
2. Results in dark bands (minima) on the screen where the intensity is significantly reduced or zero.
3. The condition for destructive interference can be expressed as $d\sin\theta = (m + \frac{1}{2})\lambda$, where $d$ is the distance between the slits, $\theta$ is the angle relative to the original direction of the wave, and $m$ is an integer.
4. Plays a crucial role in determining the overall pattern of light and dark fringes observed in Young’s Double Slit Experiment.
5. Helps illustrate the wave nature of light by demonstrating that light waves can interfere destructively.

Review Questions

Related terms

Constructive Interference:

Occurs when waves from two slits arrive in phase, resulting in increased amplitude and bright fringes.

Path Difference:

The difference in distance traveled by two waves arriving at a point, affecting their phase relationship.

Interference Pattern:

A series of alternating bright and dark bands resulting from constructive and destructive interference.