Oscillations - Result Question 46
50. Two springs of spring constants $k_1$ and $k_2$ are joined in series. The effective spring constant of the combination is given by
[2004]
(a) $k_1 k_2 /(k_1+k_2)$
(b) $k_1 k_2$
(c) $(k_1+k_2) / 2$
(d) $k_1+k_2$
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Answer:
Correct Answer: 50. (a)
Solution:
(a) $\frac{1}{k _{e q}}=\frac{1}{k_1}+\frac{1}{k_2} \Rightarrow \frac{1}{k _{e q}}=\frac{k_1+k_2}{k_1 k_2}$
$\Rightarrow k _{e q}=\frac{k_1 k_2}{k_1+k_2}$
