Question

how does the period of SHM vary with force constant K​

Answer 1

Explanation:

The period is related to how stiff the system is. A very stiff object has a large force constant k, which causes the system to have a smaller period. For example, you can adjust a diving board's stiffness—the stiffer it is, the faster it vibrates, and the shorter its period.

Answer 2

The period of SHM is inversely proportional to the force constant K.

• The formula to find the time period of an SHM is, T = 2π√(m/K) where "T" is the time period, "m" is the mass of the body, and "K" is the spring constant or force constant.
• Here force constant refers to the stiffness or rigidity of the object, when a system has more rigidity or stiffness then the time period is less, and vice-versa.  
• For example, when we ride a boat the stiffness while using the board shafts for the movement of the boat is the same is high due to which we ride faster and reach the destination faster which consumes less time period.