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The time period of a mass suspended from a spring is T. If the spring is cut into four equal parts and the same mass is suspended from one of the parts, then the new time period will be:

1. 2T
2. T/4
3. 2
4. T/2

Correct answer: T/2

Solution

When a spring is cut into four equal parts, the spring constant of each part becomes four times the original spring constant (k' = 4k). The time period of a spring-mass system is given by T = 2π√(m/k). Substituting k' = 4k, the new time period becomes T' = T/2.

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