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

G1 Physics · Accepted Answer

Step 1: For a uniform spring, stiffness is inversely proportional to spring length. Step 2: Cutting into four equal parts changes the stiffness of one part from k to k′ = 4k. Step 3: Old period T = 2π√(m/k), new period T′ = 2π√(m/(4k)) = T/2. Final answer: (C) T/2.