COMEDK · Physics · 15. Oscillations
Time period of oscillation 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, the fractional change in time period is
- A \(\dfrac{1}{8}\)
- B \(\dfrac{1}{2}\)
- C \(\dfrac{1}{4}\)
- D \(\dfrac{1}{6}\)
Answer & Solution
Correct Answer
(B) \(\dfrac{1}{2}\)
Step-by-step Solution
Detailed explanation
The time period of a mass \(m\) suspended from a spring of force constant \(k\) is given by \(T = 2\pi \sqrt{\dfrac{m}{k}}\). When a spring of force constant \(k\) is cut into \(n\) equal parts, the force constant of each part becomes \(k' = nk\). Here, \(n = 4\), so…
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