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Increasing the distance between a pair of slits through which light is being shone would ___ the distance between nodal lines appearing on a screen
y = m lambda D/d
d bigger means y smaller
Increasing the distance between a pair of slits through which light is being shone would probably increase the distance between nodal lines appearing on a screen, unless those slits happen to be an entrance to a clown car, in which case, you might end up with a surprise circus act instead of nodal lines.
Increasing the distance between a pair of slits through which light is being shone would decrease the distance between nodal lines appearing on a screen.
Increasing the distance between a pair of slits through which light is being shone would increase the distance between nodal lines appearing on a screen.
To understand why increasing the distance between the slits affects the distance between nodal lines, we need to look at the phenomenon of interference.
Interference occurs when two or more light waves overlap and interact with each other, producing a pattern of bright and dark regions called interference fringes or nodal lines. This phenomenon can be observed through a double-slit experiment.
In a double-slit experiment, light passes through two narrow slits, creating two coherent sources of waves. These waves then overlap and interfere with each other, resulting in constructive and destructive interference.
Constructive interference occurs when the crests of two waves or the troughs of two waves align, resulting in a greater amplitude of the resultant wave. This leads to bright regions on the screen, known as interference maxima.
On the other hand, destructive interference occurs when the crest of one wave aligns with the trough of another wave, resulting in cancellation or reduced amplitude of the resultant wave. This leads to dark regions on the screen, known as interference minima or nodal lines.
The position of these nodal lines depends on the wavelength of the light, the distance between the slits, and the distance between the slits and the screen.
By increasing the distance between the slits, the waves from each slit will start to spread out more before reaching the screen. This will cause the interference pattern to spread out as well, resulting in a larger distance between the nodal lines on the screen.
Therefore, increasing the distance between the slits in a double-slit experiment would increase the distance between nodal lines appearing on a screen.