Model check. This lesson uses exact small training values (not measured constants) so every relationship is checkable to the digit. Real instruments report measured values with units, significant figures, and uncertainty; the idealized numbers here isolate the rule, not a measurement.

Young-fringe positions scale through a checked path-source wavelength. Exact arithmetic here means exact results for the stated model inputs; measured inputs still carry uncertainty and significant-figure limits.

highlighted = computed this step

Short wavelength lands at two metres

The path source first checks wavelength 1 m. With first order, screen distance six metres, and slit spacing three metres, the fringe position is 2 m.

y=1⋅1⋅63=2y=\frac{1\cdot1\cdot6}{3}=2
Young wavelength source rowThe path source and Young fringe check are both present.path Apath Bfringe y

Double wavelength doubles the fringe position

The path source first checks wavelength 2 m. With first order, screen distance six metres, and slit spacing three metres, the fringe position is 4 m.

y=1⋅2⋅63=4y=\frac{1\cdot2\cdot6}{3}=4
Young wavelength source rowThe path source and Young fringe check are both present.path Apath Bfringe y

Triple wavelength triples the fringe position

The path source first checks wavelength 3 m. With first order, screen distance six metres, and slit spacing three metres, the fringe position is 6 m.

y=1⋅3⋅63=6y=\frac{1\cdot3\cdot6}{3}=6
Young wavelength source rowThe path source and Young fringe check are both present.path Apath Bfringe y