total mechanical energy is always conserved
linear acceleration is directed to any variable point
linear acceleration varies inversely with displacement
period of oscillation varies linearly as acceleration due to gravity
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Let’s analyze the question
A.Total mechanical energy is always conserved:this is correct because the sum of the potential and kinetic energy is always constant assuming there are no external forces acting on the system
B. And C. Linear direction is directed to any variable point as varies inversely with displacement :This statement is correct because linear acceleration of a body performing SHM is always directed towards a fixed point and is directly proportional to its displacement from that point
D.Period of oscillation varies linearly (directly) as acceleration due to gravity:This statement counteracts the expression
T=2piroot(l/g) so therefore period is inversely proportional to acceleration due to gravity
Thank you

