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Frequency Of A Photon Calculator With Wavelength

Frequency Formula:

\[ f = \frac{c}{\lambda} \]

m

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1. What is the Frequency of a Photon?

The frequency of a photon refers to the number of wave cycles that pass a given point per second. It is inversely proportional to the wavelength and directly related to the photon's energy through Planck's constant.

2. How Does the Calculator Work?

The calculator uses the frequency formula:

\[ f = \frac{c}{\lambda} \]

Where:

Explanation: The formula shows that frequency is inversely proportional to wavelength - as wavelength increases, frequency decreases, and vice versa.

3. Importance of Frequency Calculation

Details: Calculating photon frequency is essential in various fields including optics, quantum mechanics, telecommunications, and spectroscopy. It helps determine the energy of photons and their behavior in different media.

4. Using the Calculator

Tips: Enter the wavelength in meters. The value must be positive and greater than zero. The calculator will compute the corresponding frequency in hertz (Hz).

5. Frequently Asked Questions (FAQ)

Q1: What is the relationship between frequency and energy?
A: The energy of a photon is directly proportional to its frequency: E = h × f, where h is Planck's constant (6.626 × 10⁻³⁴ J·s).

Q2: What are typical frequency ranges for visible light?
A: Visible light frequencies range from approximately 4.3 × 10¹⁴ Hz (red) to 7.5 × 10¹⁴ Hz (violet).

Q3: How does frequency relate to the electromagnetic spectrum?
A: Different frequency ranges correspond to different types of electromagnetic radiation, from radio waves (low frequency) to gamma rays (high frequency).

Q4: Why is the speed of light constant in the formula?
A: In vacuum, the speed of light is a fundamental constant (approximately 3 × 10⁸ m/s) that relates frequency and wavelength for all electromagnetic radiation.

Q5: Can this formula be used for other waves besides light?
A: Yes, the formula v = f × λ applies to all waves, where v is the wave velocity. For electromagnetic waves in vacuum, v equals c.

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