A) 0.314s
B) 3.14s
C) 0.628s
D) 0.157s
E) 0.078s
Correct Answer: A
Solution :
Spring constant of combination \[{{k}_{p}}={{k}_{1}}+{{k}_{2}}+{{k}_{3}}+{{k}_{4}}\] \[{{k}_{p}}=4k\] \[=4\times 4000\] \[{{k}_{p}}=16000\text{ }N{{m}^{-1}}\] Time period of combination \[T=2\pi \sqrt{\frac{m}{{{k}_{p}}}}\] \[=2\pi \sqrt{\frac{m}{4k}}\] \[=2\pi \sqrt{\frac{40}{16000}}\] \[T=0.314\text{ }s\]
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