Given ↷
Two masses oscillating together with each of their time period as ,'T'
To find↷
Answer↷
Option B
- Time period is independent of mass so it will remain same irrespective of the mass on the spring so the new time period would be the exact same as the previous one.
Solution↷
we know that,
The time period of a mass 'm' on a spring of spring constant 'k' can be strategize by the following equation :
[tex] \huge \rightarrow \: T \: = 2π \sqrt{ \frac{m}{k} } [/tex]
- m⇢mass of the body [kg]
- k⇢spring constant [Nm^-1]
According to the question,
- The new mass would be 2m
- The new spring constant would be 2k
so,
The new time period would be
[tex] \huge \rightarrow \: T ' \: = 2π \sqrt{ \frac{2m}{2k} } [/tex]
[tex] \huge \rightarrow \: T ' \: = 2π \sqrt{ \frac{m}{k} } [/tex]
[tex] \huge \rightarrow \: T ' \: = T[/tex]
Hence ,option B is correct ✓
