Springs of spring constants $K, 2K, 4K, 8K,$ ..... are connected in series. A mass $40\, gm$ is attached to the lower end of last spring and the system is allowed to vibrate. What is the time period of oscillation ..... $\sec$. (Given $K = 2\, N/cm$)
A$0.13$
B$0.3$
C$0.43$
D$0.21$
Medium
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A$0.13$
a $\frac{1}{K_{eq}}=\frac{1}{K}+\frac{1}{2 K}+\frac{1}{4 K}+\frac{1}{8 K}+\ldots \ldots=\frac{1}{K}\left[1+\frac{1}{2}+\frac{1}{4}+\frac{1}{8}+\ldots\right]$
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