1. What Is De Broglie Wavelength Of Photon?

The de Broglie wavelength describes the wave-like behavior of particles, including photons. For photons, the wavelength is inversely proportional to their energy, following the relation λ = hc/E, where h is Planck's constant and c is the speed of light.

2. How Does The Calculator Work?

The calculator uses the de Broglie wavelength formula:

Where:

• \( \lambda \) — Wavelength (meters)
• \( h \) — Planck's constant (6.626×10⁻³⁴ J·s)
• \( c \) — Speed of light (3×10⁸ m/s)
• \( E \) — Photon energy (joules)

Explanation: This equation shows that higher energy photons have shorter wavelengths, while lower energy photons have longer wavelengths.

3. Importance Of Wavelength Calculation

Details: Calculating photon wavelength is essential in quantum mechanics, spectroscopy, and various applications including laser technology, medical imaging, and telecommunications.

4. Using The Calculator

Tips: Enter the photon energy in joules. The energy must be a positive value greater than zero for accurate calculation.

5. Frequently Asked Questions (FAQ)

Q1: What is the physical significance of de Broglie wavelength?
A: It represents the wavelength associated with a particle's wave-like properties, demonstrating the wave-particle duality principle in quantum mechanics.

Q2: How does photon wavelength relate to its color?
A: For visible light, different wavelengths correspond to different colors. Shorter wavelengths appear violet/blue, while longer wavelengths appear red.

Q3: Can this formula be used for other particles besides photons?
A: Yes, but for massive particles the formula is λ = h/p, where p is momentum, rather than λ = hc/E.

Q4: What are typical wavelength ranges for photons?
A: Gamma rays: <10⁻¹² m, X-rays: 10⁻¹²-10⁻⁸ m, Visible light: 4-7×10⁻⁷ m, Radio waves: >10⁻¹ m.

Q5: Why is the speed of light constant in this equation?
A: All photons travel at the speed of light in vacuum (c), regardless of their energy or wavelength.