13.Oscillations
medium

$700g$ નો પદાર્થ દૂર કરતાં આવર્તકાળ $3sec$ મળે છે,હવે $500g$ પદાર્થને પણ દૂર કરવામાં આવે તો આવર્તકાળ કેટલો .... $s$ થાય?

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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