A mass m =100 gms is attached at the end of a light spring which oscillates on a frictionless horizontal table with an amplitude equal to 0.16 metre and time period equal to 2 sec. Initially the mass is released from rest at t = 0 and displacement \[x=-0.16\] metre. The expression for the displacement of the mass at any time t is [MP PMT 1995]

• A. \[x=0.16\cos (\pi t)\]
• B. \[x=-\,0.16\cos (\pi t)\]
• C. \[x=0.16\sin (\pi t+\pi )\]
• D. \[x=-\,0.16\sin (\pi t+\pi )\]