In a double-slit experiment, if the distance between the slits is doubled, how d

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Question: In a double-slit experiment, if the distance between the slits is doubled, how does the fringe width change?

Options:

Correct Answer: Halves

Solution:

Fringe width (β) is inversely proportional to the distance between the slits (d). If d is doubled, β is halved.

In a double-slit experiment, if the distance between the slits is doubled, how does the fringe width change?

In a double-slit experiment, if the distance between the slits is doubled, how does the fringe width change?

Step 1: Understand what fringe width (β) means. It is the distance between bright or dark spots on a screen in a double-slit experiment.
Step 2: Know that the distance between the slits is represented by 'd'.
Step 3: Remember the relationship: Fringe width (β) is inversely proportional to the distance between the slits (d). This means if 'd' increases, 'β' decreases.
Step 4: If the distance between the slits (d) is doubled, it means d becomes 2d.
Step 5: Since β is inversely proportional to d, if d is doubled (2d), then β becomes β/2.
Step 6: Conclude that if the distance between the slits is doubled, the fringe width (β) is halved.

Fringe Width in Double-Slit Experiment – Fringe width (β) is the distance between adjacent bright or dark fringes on a screen in a double-slit experiment, which is determined by the wavelength of light and the distance between the slits.
Inverse Proportionality – The relationship between fringe width and slit separation is inversely proportional, meaning that as the distance between the slits increases, the fringe width decreases.