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13.Oscillations
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Three masses $700g, 500g$, and $400g$ are suspended at the end of a spring a shown and are in equilibrium. When the $700g$ mass is removed, the system oscillates with a period of $3$ seconds, when the $500 \,gm$ mass is also removed, it will oscillate with a period of ...... $s$
A
$1$
B
$2$
C
$3$
D
$\sqrt {\frac{{12}}{5}}$
Solution
(b) When mass $700 \,gm$ is removed, the left out mass $(500 + 400)\, gm$ oscillates with a period of $3\, sec$
$3 = t = 2\pi \sqrt {\frac{{(500 + 400)}}{k}} $……$(i)$
When $500 \,gm$ mass is also removed, the left out mass is $400\, gm.$
$t' = 2\pi \sqrt {\frac{{400}}{k}} $…..$(ii)$
==> $\frac{3}{{t'}} = \sqrt {\frac{{900}}{{400}}} $ ==> $t' = 2\sec $
Standard 11
Physics
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