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# PLANCK'S CONSTANT - Represented by the symbol h. - It is a fundamental constant of nature that relates the energy of a photon to its frequency. - It plays a crucial role in quantum mechanics. - It is named after Max Planck, who introduced it in 1900. ## Definition - Planck's constant is defined...

# PLANCK'S CONSTANT - Represented by the symbol h. - It is a fundamental constant of nature that relates the energy of a photon to its frequency. - It plays a crucial role in quantum mechanics. - It is named after Max Planck, who introduced it in 1900. ## Definition - Planck's constant is defined as the ratio of the energy of a photon to its frequency. - It can be expressed as: $$ E = h \cdot f $$ Where: - E is the energy of the photon. - f is the frequency of the photon. ## Value - The value of Planck's constant is approximately: $$ h \approx 6.62607015 \times 10^{-34} \text{ joule-seconds (J.s)} $$ - It can also be expressed in terms of electronvolts (eV) $$ h \approx 4.135667696 \times 10^{-15} \text{ electronvolt-seconds (eV.s)} $$ ## Significance - Planck's constant is essential for understanding the behavior of matter and energy at the atomic and subatomic levels. - It is used in many areas of physics, including: - Quantum mechanics - Atomic physics - Particle physics - Solid-state physics ## Applications - Planck's constant is used in a variety of applications, including: - Calculating the energy of photons - Determining the wavelengths of particles - Understanding the behavior of lasers - Developing new technologies such as quantum computers ## Fun Fact - Max Planck originally introduced Planck's constant as a mathematical trick to solve the ultraviolet catastrophe, a problem in classical physics that predicted that blackbodies would emit an infinite amount of energy at high frequencies. - However, Planck's constant turned out to be a fundamental constant of nature with profound implications for our understanding of the universe.