The percentage error in measurement of a cube's side is 2%. Maximum percentage error in its volume is:
A. 6%
B. 4%
C. 2%
D. 8%
Answer: Option A
Solution (By JKSSB Mock Tests)
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.
Explanation:
T = 2π√(l/g): depends on l and g, independent of mass (gravitational and inertial mass cancel). Memory aid: 'Pendulum: T ∝ √(l/g); independent of mass for small angles'. Oscillations concept frequently tested in competitive exams.
No comments yet. Be the first to start the discussion!