The de Broglie wavelength associated with a moving particle is inversely proportional to its:
A. Momentum
B. Velocity only
C. Mass only
D. Kinetic energy
Answer: Option A
Solution (By JKSSB Mock Tests)
Louis de Broglie proposed that matter exhibits wave-like properties. The de Broglie wavelength (lambda) of a particle is given by the formula lambda = h / p, where 'h' is Planck's constant and 'p' is the linear momentum (mass * velocity) of the particle. Therefore, the wavelength is strictly inversely proportional to the momentum of the moving particle.
Explanation:
Law of conservation of energy states total energy (all forms) is conserved in isolated systems. For mechanical energy (KE + PE) to be conserved, only conservative forces (like gravity, spring) must act; non-conservative forces (friction) convert mechanical energy to heat. Option C precisely states this condition. Options A and B are incorrect as KE and PE individually vary. Option D is false as thermal energy can exist. Memory tip: 'Mechanical energy conserved ⇔ no non-conservative work'. This nuanced understanding is critical for energy problems in competitive exams, where distractors often omit the conservative force condition.
Explanation:
Coulomb (C) is SI unit of charge. Ampere is unit of current (C/s). Volt is potential difference, ohm is resistance. One coulomb is charge transported by 1 A current in 1 s.
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