v_e = √(2GM/R): depends on planet's M and R, independent of projectile mass or launch direction. Memory tip: 'v_e ∝ √(M/R); property of planet, not projectile'. Gravitation concept frequently tested in competitive exams.
Explanation:
Parallel branches share same voltage (potential difference). Current divides inversely with resistance. Memory aid: 'Parallel: same voltage; Series: same current'. Fundamental circuit property frequently tested in competitive exams to assess basic electronics understanding.
Explanation:
Volume V = a³. For error propagation: % error in V = 3 × % error in a. Given 2% error in side, volume error = 3×2% = 6%. Power rule: if Q = xⁿ, %ΔQ = |n|×%Δx. Memory tip: Volume depends on cube of length ⇒ errors triple. Common in experimental error analysis questions.
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