Final answer:
The distance between the slits B and C is 0.56 mm.
Step-by-step explanation:
The distance between the slits B and C can be calculated using the formula for the distance between the central maximum and the first dark band in a double-slit interference pattern:
d = (λL) / (d)
where d is the distance between the slits, λ is the wavelength of the light, and L is the distance from the slits to the screen.
Substituting the given values:
1.3 mm = (560 nm * 1.3 m) / (d)
Simplifying the equation:
d = (560 nm * 1.3 m) / (1.3 mm)
d = 0.56 mm
Therefore, the distance between B and C is 0.56 mm.
successive peaks (or troughs) of a wave. It is often denoted by the symbol λ (lambda). Wavelength is usually measured in meters or other units of length, depending on the scale of the wave.
In the context of electromagnetic waves, such as light or radio waves, wavelength is an essential characteristic. The electromagnetic spectrum includes a wide range of wavelengths, from very short gamma rays and X-rays to longer ultraviolet, visible light, and even longer radio waves. Each type of electromagnetic radiation corresponds to a specific range of wavelengths.
The relationship between the speed of a wave (v), its frequency (f), and its wavelength (λ) is given by the equation:
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v=f⋅λ
where:
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v is the speed of the wave,
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f is the frequency of the wave (the number of oscillations per unit of time),
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λ is the wavelength.
This equation shows that as the frequency of a wave increases, its wavelength decreases, and vice versa. This relationship is characteristic of the wave nature of various phenomena, including light and sound.