Physics

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. $$y= \dfrac { A }{ \sqrt { 2 }  } \left( sin(wt)+cos(wt) \right) $$ 


ANSWER

i and ii only


SOLUTION
Given physical expression is dimensionally correct only when RHS and LHS has same dimensions.
Also in trigonometry expression the term inside a trigonometry function should be dimensionless. 
Therefore expression 1 is wrong because Vt has dimension of length.
Similarly expression 2.
So the answer is B.
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