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coherent light from a sodium-vapor lamp is passed through a filter that blocks everything except for light of a single wavelength. it then falls on two slits separated by 0.470 mm . in the resulting interference pattern on a screen 2.24 m away, adjacent bright fringes are separated by 2.86 mm
What is the wavelength of the light that falls on the slits?
Im lost I don't know where to start.

Sagot :

The wavelength of the light that falls on the slit is [tex]=60* 10^{-5}[/tex]m

Fringe separation = 2.86 mm = 0.00286 m

Slit separation = 0.470 mm = 0.00047 m

Distance from slits to screen = 2.24 mm = 0.00224 mm

Wavelength is given by the following relation;

[tex]Wavelength = \frac{Fringe separation* Slit separation}{Distance from slits to screen}[/tex]

[tex]Therefore[/tex]

[tex]Wavelength = \frac{0.00286*0.00047}{0.00224}[/tex]  [tex]=60* 10^{-5}m[/tex]

The wavelength of the light that falls on the slit  [tex]=60* 10^{-5}m[/tex]

In physics, the wavelength is the spatial length of a periodic wave—the distance over which the wave's form repeats. it is the space between consecutive corresponding factors of the same section on the wave, consisting of adjoining crests, troughs, or 0 crossings, and is a characteristic of both visiting waves and standing waves, in addition to other spatial wave patterns. The inverse of the wavelength is known as the spatial frequency. Wavelength is generally particular via the Greek letter lambda (λ). The time period wavelength is likewise once in a while applied to modulated waves, and to the sinusoidal envelopes of modulated waves or waves shaped by means of interference of several sinusoids.

Assuming a sinusoidal wave transferring at a hard and fast wave velocity, the wavelength is inversely proportional to the frequency of the wave: waves with better frequencies have shorter wavelengths, and lower frequencies have longer wavelengths.

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