COMEDK · Physics · 5. Laws of Motion
A spring of force constant \(k\) is cut into lengths of ratio \(1 : 3 : 4\). They are connected in series and the new force constant is \(k'\). Then they are connected in parallel and force constant is \(k''\). Then \(k' : k''\) is
- A \(1 : 38\)
- B \(3 : 38\)
- C \(38 : 1\)
- D \(38 : 3\)
Answer & Solution
Correct Answer
(B) \(3 : 38\)
Step-by-step Solution
Detailed explanation
Let the total length of the spring be \(L\). The spring is cut into three parts with lengths \(l_1 = \dfrac{1}{8}L\), \(l_2 = \dfrac{3}{8}L\), and \(l_3 = \dfrac{4}{8}L\). The force constant of a spring is inversely proportional to its length, \(k \propto \dfrac{1}{l}\). Thus,…
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