A) Double the mass
B) Half the mass
C) Quadruple the mass
D) Reduce the mass to one-fourth
Correct Answer: D
Solution :
\[\omega =\sqrt{\frac{k}{m}}\Rightarrow \frac{{{\omega }_{2}}}{{{\omega }_{1}}}\]\[=\sqrt{\frac{{{m}_{1}}}{{{m}_{2}}}}\Rightarrow 2=\sqrt{\frac{{{m}_{1}}}{{{m}_{2}}}}\Rightarrow {{m}_{2}}=\frac{{{m}_{1}}}{4}\]
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