MCQ
Two identical spring of constant $K$ are connected in series and parallel as shown in figure. A mass $m$ is suspended from them. The ratio of their frequencies of vertical oscillations will be
- A$2:1$
- B$1:1$
- ✓$1:2$
- D$4:1$
✓
Answer
Correct option: C.
$1:2$
c
(c) $n = \frac{1}{{2\pi }}\sqrt {\frac{k}{m}} $
(c) $n = \frac{1}{{2\pi }}\sqrt {\frac{k}{m}} $
==> $\frac{{{n_S}}}{{{n_P}}} = \sqrt {\frac{{{k_S}}}{{{k_P}}}} $
$ \Rightarrow \frac{{{n_s}}}{{{n_p}}} = \sqrt {\frac{{\left( {\frac{k}{2}} \right)}}{{2k}}} = \frac{1}{2}$
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