A book with many printing errors contains four different expressions for the displacement y of a particle executing simple harmonic motion. The wrong formula on dimensional basis is/are:
i. $$y=A \sin{(Vt)}$$
ii. $$y=\dfrac{A}{T} \sin{(\dfrac{t}{A})}$$
iii. $$y= \dfrac { A }{ \sqrt { 2 } } \left( sin(wt)+cos(wt) \right) $$
i. $$y=A \sin{(Vt)}$$
ii. $$y=\dfrac{A}{T} \sin{(\dfrac{t}{A})}$$
iii. $$y= \dfrac { A }{ \sqrt { 2 } } \left( sin(wt)+cos(wt) \right) $$
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