6. A block with a mass M is attached to a vertical spring with a spring constant k. When the block is displaced from equilibrium and released its period is T. A second identical spring k is added to the first spring in parallel.What is the period of oscillations when the block is suspended from two springs? A. 2T B. sqrt (2)T C.T D. (T)/(sqrt (2))

To solve this problem, we need to understand how the period of oscillation of a spring-block system is affected by the spring constant.The period of oscillation for a block-spring system is given by the formula: where:- is the mass of the block,- is the spring constant.When two identical springs are added in parallel, the effective spring constant is given by: where and are the spring constants of the two springs.Now, we need to find the new period with the effective spring constant : We can express this in terms of the original period : Therefore, the period of oscillations when the block is suspended from two springs is: So the correct answer is:D.