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Physics-

General

Easy

Question

Three masses $700 g comma blank 500 g comma$ and $400 g$ are suspended at the end of a spring a shown and are in equilibrium. When the $700 g$ mass is removed, the system oscillates with a period of 3 seconds, when the $500 g$ mass is also removed, it will oscillate with a period of

$1 s$
$2 s$
$3 s$
$\sqrt{\frac{12}{5}} s$

The correct answer is: $2 blank s$

When mass $700 blank g$ is removed, the left out mass $left parenthesis 500 plus 400 right parenthesis g$ oscillates with a period of $3 blank s$
$therefore 3 equals t equals 2 pi square root of fraction numerator left parenthesis 500 plus 400 right parenthesis over denominator k end fraction end root$ (i)
When $500 blank g$ mass is also removed, the left out mass is $400 blank g$
$therefore t to the power of ´ end exponent equals 2 pi square root of fraction numerator 400 over denominator k end fraction end root$ (ii)
$rightwards double arrow fraction numerator 3 over denominator t to the power of ´ end exponent end fraction equals square root of fraction numerator 900 over denominator 400 end fraction end root rightwards double arrow t to the power of ´ end exponent equals 2 s$

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