NEET UG PHYSICS MCQ: UNITS & MEASUREMENTS

If a book with many printing errors contains four different formulae for the displacement $y$ of a particle undergoing a certain periodic motion.
(1) $y=a \sin \frac{2 \pi t}{T}$
(2) $y=a \sin v T$
(3) $y=\frac{a}{T} \sin \frac{t}{a}$
(4) $y=(a \sqrt{2})\left(\sin \frac{2 \pi t}{T}+\cos \frac{2 \pi t}{T}\right)$
where $a$ is the maximum displacement of the particle, $v$ is the speed of particle, $T$ is the time period of motion. Then dimensionally