Energy Frequency And Wavelength Calculator

Planck's Equation and Wave Equation:

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

Calculated Energy (E):

Calculated Frequency (f):

Calculated Wavelength (λ):

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1. What is Planck's Equation?

Planck's equation (E = hf) describes the relationship between the energy of a photon and its frequency, where E is energy, h is Planck's constant, and f is frequency. The wavelength equation (λ = c/f) relates frequency to wavelength through the speed of light.

2. How Does the Calculator Work?

The calculator uses two fundamental equations:

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

Where:

\( E \) — Energy of photon (Joules)
\( h \) — Planck's constant (6.626 × 10⁻³⁴ J·s)
\( f \) — Frequency (Hertz)
\( \lambda \) — Wavelength (meters)
\( c \) — Speed of light (3 × 10⁸ m/s)

Explanation: These equations allow calculation of any one variable if the other two are known, describing the quantum nature of electromagnetic radiation.

3. Importance of Energy-Frequency-Wavelength Relationship

Details: This relationship is fundamental to quantum mechanics, spectroscopy, photonics, and understanding electromagnetic radiation across the entire spectrum from radio waves to gamma rays.

4. Using the Calculator

Tips: Enter any two known values to calculate the third. Values must be positive numbers. The calculator handles very small numbers appropriate for quantum calculations.

5. Frequently Asked Questions (FAQ)

Q1: What is Planck's constant?
A: Planck's constant (6.626 × 10⁻³⁴ J·s) is a fundamental physical constant that relates the energy of a photon to its frequency.

Q2: How are frequency and wavelength related?
A: Frequency and wavelength are inversely proportional through the speed of light: higher frequency means shorter wavelength, and vice versa.

Q3: What units should I use?
A: Energy in Joules, frequency in Hertz, wavelength in meters. For very small wavelengths, scientific notation is recommended.

Q4: Can I calculate for particles other than photons?
A: The de Broglie wavelength equation (λ = h/p) should be used for particles with mass, where p is momentum.

Q5: Why are the numbers so small?
A: Quantum mechanical phenomena involve extremely small energy scales. Planck's constant is very small, leading to tiny energy values for individual photons.