Answer:
Explanation:
Given
Frequency of an object in SHM is [tex]f=1\ Hz[/tex]
Frequency in SHM is given by
[tex]f=\frac{1}{2\pi }\sqrt{\frac{k}{m}}[/tex]
where k=spring constant
m=mass of object
if spring is exchanged such that new spring constant is half of previous one then
[tex]k'=0.5 k[/tex]
[tex]f'=\frac{1}{2\pi }\sqrt{\frac{0.5 k}{m}}[/tex]
[tex]f'=\frac{1}{\sqrt{2}}\times \frac{1}{2\pi }\sqrt{\frac{k}{m}}[/tex]
i.e. [tex]f'=\frac{1}{\sqrt{2}}\times 1[/tex]
[tex]f'=\frac{1}{\sqrt{2}}[/tex]
[tex]f'=0.707\ Hz[/tex]
