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T = 2π√(m/k). When a spring is cut into n parts, spring constant for each part = nk. Here, n = 4.

1. T1 = 2π√(m/4k)
2. T = T/2
3. T = 2π√(m/k)
4. T = 2π√(m/4k)

Correct answer: T1 = 2π√(m/4k)

Solution

When a spring is cut into n parts, the spring constant of each part becomes nk. Substituting k' = 4k into the formula T = 2π√(m/k'), we get T1 = 2π√(m/4k).

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