A) \[\frac{(n+1)k}{n}\]
B) \[\frac{nk}{n+1}\]
C) \[k/n\]
D) \[nk\]
Correct Answer: D
Solution :
Here: Spring constant\[=k\] When this spring is divided into\[n\]parts then Ac relation for the spring constant\[k\]is given by, \[\frac{1}{k}+\frac{1}{{{k}_{1}}}+\frac{1}{{{k}_{2}}}+....+\frac{1}{{{k}_{n}}}\] \[=\frac{1}{{{k}_{1}}}+\frac{1}{{{k}_{2}}}+....+n\,times\] \[=\frac{n}{{{k}_{1}}}\] Or \[{{k}_{1}}=nk\] where \[{{k}_{1}}={{k}_{2}}={{k}_{3}}=....{{k}_{n}}\] (where\[{{k}_{1}}\]is the spring constant of one piece)
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