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Answer:

[tex] 4.35 \times 10^{14} Hz[/tex]

Explanation:

The frequency of a light is inversely proportional to its wavelength. It is given by:

[tex]f = \frac{v}{\lambda}[/tex]

The speed of the red light, v = 3.0 × 10⁸ m/s

The wavelength of the red light, λ = 690 nm = 690 ×10⁻⁹ m

[tex]f = \frac{3.0 \times 10^8 m/s}{690\times 10^{-9}m} = 4.35 \times 10^{14} Hz[/tex]

Thus, the frequency of red light emitted by neon sign having wavelength 690 nm is [tex] 4.35 \times 10^{14} Hz[/tex]

The frequency of red light emitted by neon sign having wavelength [tex]690\text{ nm}[/tex] is [tex]\b{\boxed{4.35\times10^{14}\text{ Hz}}}[/tex].

Further Explanation:

Wavelength is defined as the distance between two successive highest points or it is the length traveled in one complete period for a periodic wave.

Frequency is defined as the number of waves passing through a point in a unit time and is inversely proportional to wavelength.

Red light is the part of visible light spectrum. It is electromagnetic in nature. It has a maximum wavelength and minimum frequency in a visible light spectrum and travels with the speed of [tex]3\times10^8\text{ m/s}[/tex].

Neon emits mostly the red and green light but we can observe the visible spectrum in neon emission spectrum.

Given:

The wavelength of the red light is [tex]690\text{ nm}[/tex].

Concept:

The relationship between wavelength and frequency given as:

[tex]\boxed{f=\dfrac{v}{\lambda}}[/tex]

Substituting [tex]3\times10^8\text{ m/s}[/tex] for [tex]v[/tex] and [tex]690&\times10^{-9}\text{ m}[/tex] for [tex]\lambda[/tex] in above expression, we get

[tex]f= 4.35\times10^{14}\text{ Hz}[/tex]

Thus, the frequency of red light emitted by neon sign having wavelength [tex]690\text{ nm}[/tex] is [tex]\b{\boxed{4.35\times10^{14}\text{ Hz}}}[/tex].

Learn more:

1. Volume of gas after expansion: https://brainly.com/question/9979757

2. Principle of conservation of momentum: https://brainly.com/question/9484203

3. Average translational kinetic energy: https://brainly.com/question/9078768

Answer Details:

Grade: College

Subject: Physics

Chapter: Optics

Keywords:

Wavelength, successive, highest, complete, period, wave, frequency, unit, time, inversely, proportional, red, light, neon, maximum, minimum, visible, spectrum, 690nm, 3*10^8 m/s, speed, electromagnetic, nature and part.

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