Answer:
The new time period will be T.
Explanation:
The time period in terms of spring constant and mass is given by :
[tex]T=2\pi\sqrt{\dfrac{m}{k}}[/tex]
If mass and force constant is doubled, m' = 2m and k' = 2k
New time period is given by :
[tex]T'=2\pi\sqrt{\dfrac{m'}{k'}}[/tex]
[tex]T'=2\pi\sqrt{\dfrac{2m}{2k}}[/tex]
[tex]T'=2\pi\sqrt{\dfrac{m}{k}}[/tex]
[tex]T'=T[/tex]
So, the new period will remains the same. Hence, the correct option is (C).
