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Physics-

General

Easy

Question

Two identical springs are connected to mass $m$ as shown $left parenthesis k equals s p r i n g blank c o n s t a n t right parenthesis$ . If the period of the configuration in [a] is 2 s, the period of the configuration in [b] is

$2 \sqrt{2}$ s
$1$ s
$\frac{1}{\sqrt{2}}$ s
$\sqrt{2}$ s

The correct answer is: $1$ s

Time period $T equals 2 pi square root of fraction numerator m over denominator k end fraction end root$

$therefore fraction numerator T subscript 1 end subscript over denominator T subscript 2 end subscript end fraction equals square root of fraction numerator k subscript 2 end subscript over denominator k subscript 1 end subscript end fraction end root$
$fraction numerator 2 over denominator T end fraction equals square root of fraction numerator 2 k over denominator fraction numerator k over denominator 2 end fraction end fraction end root equals 2$
$T equals 1$ s

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