Question

Calculate the frequency of the red light emitted by a neon sign with a wavelength of 690 nm

Answer 1

Answer:

$4.35 \times 10^{14} Hz$

Explanation:

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

$f = \frac{v}{\lambda}$

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

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

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

Answer 2

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

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 $3\times10^8\text{ m/s}$.

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 $690\text{ nm}$.

Concept:

The relationship between wavelength and frequency given as:

$\boxed{f=\dfrac{v}{\lambda}}$

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

$f= 4.35\times10^{14}\text{ Hz}$

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

Learn more:

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

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

3. Average translational kinetic energy: 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.