Spring-mass period T = 2π√(m/k). If mass quadrupled, T becomes: MCQ with Answer and Explanation

Spring-mass period T = 2π√(m/k). If mass quadrupled, T becomes:

A. Double

B. Four times

C. Half

D. Same

Answer: Option A

Solution (By JKExamLibrary)

T ∝ √m. If m' = 4m, T' = √4 × T = 2T. Period doubles when mass quadruples. Memory aid: 'Spring period: T ∝ √m; 4× mass ⇒ 2× period'. Oscillations proportionality frequently tested in competitive exams.

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