A body is performing S.H.M. Then its

Consider SHM,

Where A is the amplitude and is the angular frequency

Now velocity is given as,

Max velocity is given as, ----(1)

mean velocity ---(2)

square mean velocity

solving this we get, ---(3)

thus from equation (2) we can say that option c is incorrect and from equation (3) we can say that option (d) is correct

Now the instantaneous potential energy,

Where

---(4)

Total kinetic energy in SHM s given as,

---(5)

Average kinetic energy

Solving the above we get, ---(6)

Similarly,

Average potential energy

Solving the above we get, ----(7)

And average total energy

---(8)

Max kinetic energy ----(9)

And max potential energy ---(10)

Comparing equation (8) and (9) we see option a is correct.

Comparing equation (9) and (6) we see option b is also correct.