The frequency of a linear SHM-oscillator is to be doubled. For this the mass should be

Options

A. doubled
B. halved
C. reduced to one fourth of its original value
D. increased to four times

Answer

C

Explanation

`n=(1)/(2pi)sqrt((K)/(m)) i.e. n prop (1)/(sqrt(m))`
`therefore (n_(2))/(n_(1))=sqrt((m_(1))/(m_(2)) and m_(2)=(m_(1))/(4)`