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Physics-

General

Easy

Question

A mass $m$ performs oscillations of period $T$ when hanged by spring of force constant $K.$ If spring is cut in two parts and arranged in parallel and same mass is oscillated by them, then the new time period will be

$2 T$
$T$
$\frac{T}{\sqrt{2}}$
$\frac{T}{2}$

The correct answer is: $fraction numerator T over denominator 2 end fraction$

$T proportional to fraction numerator 1 over denominator square root of k end fraction rightwards double arrow fraction numerator T subscript 2 end subscript over denominator T subscript 1 end subscript end fraction equals square root of fraction numerator k subscript 1 end subscript over denominator k subscript 2 end subscript end fraction end root equals square root of fraction numerator k over denominator 4 k end fraction end root equals fraction numerator 1 over denominator 2 end fraction rightwards double arrow T subscript 2 end subscript equals fraction numerator T subscript 1 end subscript over denominator 2 end fraction$

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