A book with many printing errors contains four different formulae for the displacement y of a particle under going a certain periodic motion, where, a = maximum displacement of the particle, v = speed of the particle, T = time period of motion. Which are the correct formulae on dimensional grounds?
Options:
(a) `y=asin (2pit)/T`
(b) `y=asinvt`
(c) `y=(a/T)sin(t'/'a)`
(d) None of these