If the kinetic energy of a particle is increased by 4 times of its initial value, the ratio of its initial and final linear momentum is _______.

1
\(\frac{{{p_{initia}}}}{{{p_{final}}}} = \frac{1}{{\sqrt 2 }}\)
2
\(\frac{{{p_{initia}}}}{{{p_{final}}}} = \frac{2}{{\sqrt 2 }}\)
3
\(\frac{{{p_{initia}}}}{{{p_{final}}}} = \frac{1}{4}\)
4
\(\frac{{{p_{initia}}}}{{{p_{final}}}} = \frac{1}{2}\)

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