makes me wonder where in the equation the multiplicity ("dark bands") appears?I know the equation øp=p(λ/a) will tell me where the dark bands are on the screen
The width of a single slit is directly related to the angle of the first minimum. As the width of the slit decreases, the angle of the first minimum increases. This relationship can be expressed by the equation sinθ = λ/w, where θ is the angle of the first minimum, λ is the wavelength of the light, and w is the width of the slit.
The first minimum in a single slit diffraction pattern marks the point where the diffracted light is at its weakest intensity. It occurs when the light waves from different parts of the slit interfere destructively, canceling each other out.
The width of a single slit can be determined experimentally by measuring the angle of the first minimum in a diffraction pattern and using the equation sinθ = λ/w. By rearranging the equation, the width of the slit can be calculated as w = λ/sinθ. This method assumes that the wavelength of the light is known.
Yes, the width of a single slit does affect the position of the first minimum in a diffraction pattern. As mentioned earlier, as the width of the slit decreases, the angle of the first minimum increases. This means that the position of the first minimum will also shift to a higher angle.
Yes, the width of a single slit can be adjusted to control the diffraction pattern. By changing the width of the slit, the angle of the first minimum will also change, resulting in a different diffraction pattern. This property is often utilized in experiments and applications that involve controlling the diffraction of light.