Explanation:
Angular momentum (L = mvr) has dimensions [ML²T⁻¹]. Planck's constant (h = E/ν) also has dimensions [ML²T⁻¹]. They share the same dimensional formula. Force is [MLT⁻²], Power is [ML²T⁻³], Momentum is [MLT⁻¹], and Strain is a dimensionless quantity [M⁰L⁰T⁰]. This is a frequent exam question.
Explanation:
U ∝ V². If V' = 2V, U' = 4U. Energy scales with square of voltage. Memory aid: 'Capacitor energy: U ∝ V²; double voltage ⇒ quadruple energy'. Electrostatics proportionality frequently tested in competitive exams.
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