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Important Modern Physics I & II Formulas for JEE and NEET

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1. What are the important formulas in Modern Physics I & II?
Ans. The important formulas in Modern Physics I & II include: - Einstein's mass-energy equivalence formula: E = mc^2 - Planck's energy quantization formula: E = hf - de Broglie wavelength formula: λ = h/p - Schrödinger equation: Ĥψ = Eψ - Heisenberg's uncertainty principle: ΔxΔp ≥ h/4π
2. What is the significance of Einstein's mass-energy equivalence formula (E = mc^2)?
Ans. Einstein's mass-energy equivalence formula states that mass and energy are interchangeable and connected by the speed of light squared. This formula revolutionized our understanding of physics by showing that mass can be converted into energy and vice versa. It laid the foundation for nuclear energy and the development of nuclear power plants.
3. How is Planck's energy quantization formula (E = hf) relevant in Modern Physics I & II?
Ans. Planck's energy quantization formula states that energy is quantized in discrete units called quanta, where E represents energy, h is Planck's constant, and f is the frequency of the electromagnetic radiation. This formula is essential in understanding the behavior of particles at the atomic and subatomic level, and it forms the basis of quantum mechanics.
4. Explain the concept of de Broglie wavelength and its significance in Modern Physics I & II.
Ans. The de Broglie wavelength, given by λ = h/p, relates the wavelength of a particle to its momentum, where λ represents the wavelength, h is Planck's constant, and p is the momentum. This concept suggests that particles, such as electrons and protons, exhibit wave-like properties. It is significant in Modern Physics as it helps explain phenomena such as electron diffraction and wave-particle duality.
5. How does the Heisenberg uncertainty principle impact Modern Physics I & II?
Ans. The Heisenberg uncertainty principle, ΔxΔp ≥ h/4π, states that there is a fundamental limit to the simultaneous measurement of a particle's position (Δx) and momentum (Δp). It implies that the more precisely one measures the position of a particle, the less precisely one can know its momentum, and vice versa. This principle has profound implications in understanding the behavior of particles at the quantum level and is a fundamental concept in quantum mechanics.
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