f a spring has time period T, and is cutinto 𝑛 equal parts, then the time periodof each part will be.(a) 𝑇√𝑛(b) 𝑇/√𝑛(c) 𝑛𝑇(d) 𝑇
Question
If a spring has time period T, and is cut into 𝑛 equal parts, then the time period of each part will be.
(a) 𝑇√𝑛
(b) 𝑇/√𝑛
(c) 𝑛𝑇
(d) 𝑇
Solution
The time period of a spring is given by T = 2π√(m/k), where m is the mass and k is the spring constant.
When the spring is cut into n equal parts, the spring constant of each part becomes nk because the spring constant is inversely proportional to the length of the spring.
So, the time period of
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