Explanation:
Planck's constant h = E/ν, so its dimensions are [Energy]/[Frequency] = [ML²T⁻²]/[T⁻¹] = [ML²T⁻¹]. Angular momentum = mvr = M·LT⁻¹·L = [ML²T⁻¹]. Energy = [ML²T⁻²], linear momentum = [MLT⁻¹], force = [MLT⁻²]. Thus, Planck's constant and angular momentum share dimensions. This is a key dimensional match in quantum mechanics.
Explanation:
η = 1 - T₂/T₁: depends only on absolute temperatures, independent of working fluid or design. Universal maximum efficiency limit. Memory tip: 'Carnot: only T_hot and T_cold matter; real engines less efficient'. Thermodynamics concept frequently tested in competitive exams.
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