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 each part will be T' = 2π√(m/nk).

If we substitute the original time period into this equation, we get T' = T/√n.

So, the correct answer is (b) 𝑇/√𝑛.

Question

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 each part will be T' = 2π√(m/nk).

If we substitute the original time period into this equation, we get T' = T/√n.

So, the correct answer is (b) 𝑇/√𝑛.

Knowee AI · Accepted Answer

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 each part will be T' = 2π√(m/nk).

If we substitute the original time period into this equation, we get T' = T/√n.

So, the correct answer is (b) 𝑇/√𝑛.

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

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