State the condition for single-slit diffraction minima.

Why is there no \(m=0\) dark fringe for a single slit?

A slit has width \(0.250\,\mathrm{mm}\), and light has wavelength \(500\,\mathrm{nm}\). Find the first-minimum angle.

For \(a=0.10\,\mathrm{mm}\) and \(\lambda=600\,\mathrm{nm}\), find \(\theta_1\).

Using the small-angle approximation, state the screen position of the \(m\)th single-slit minimum.

A slit of width \(0.200\,\mathrm{mm}\) is \(2.0\,\mathrm{m}\) from a screen. For \(\lambda=500\,\mathrm{nm}\), find \(y_1\).

For the setup in question 6, estimate the full width of the central maximum.

If the slit width is halved, what happens to the diffraction angles of the minima?

If the wavelength is increased while slit width stays fixed, what happens to the central maximum width?

A first minimum occurs at \(3.0\times10^{-3}\,\mathrm{rad}\) for \(600\,\mathrm{nm}\) light. Estimate the slit width.

A screen is moved from \(1.0\,\mathrm{m}\) to \(3.0\,\mathrm{m}\) from the slit. What happens to the fringe positions \(y_m\)?

A single-slit pattern has first minima \(8.0\,\mathrm{mm}\) apart on opposite sides of the center. Find \(y_1\).

For \(a=0.250\,\mathrm{mm}\) and \(\lambda=520\,\mathrm{nm}\), find the angular separation between the first and fourth minima on the same side.

Why is the central maximum in a single-slit pattern wider than the side maxima?

A single slit has \(a=1.5\lambda\). How many minima are possible on one side of the central maximum?

A single slit has \(a=4.2\lambda\). What is the largest possible minimum order?

Explain the pair-cancellation argument for the first single-slit minimum.

Why does a narrower slit produce a wider pattern?

A central maximum width is \(12\,\mathrm{mm}\) on a screen \(3.0\,\mathrm{m}\) away using \(600\,\mathrm{nm}\) light. Estimate the slit width.

Derive the small-angle central maximum width for a single slit.