Which of the following are dimensionally consistent? (Choose all that apply.)(a) a=v / t+xv2 / 2(b) x=3vt(c) xa2=x2v / t4(d) x=vt+vt2 / 2(e) v=x2 / at3(f) a3=x2v / t5(g) x=t(h) v=5at

Complete Question

The  complete question is shown on the first uploaded image

A

is dimensionally consistent

B

is not dimensionally consistent

C

is dimensionally consistent

D

is not dimensionally consistent

E

is not dimensionally consistent

F

is dimensionally consistent

G

is dimensionally consistent

H

is not dimensionally consistent

Step-by-step explanation:

From the question we are told that

   The equation are

Generally in dimension

     x - length is represented as  L

     t -  time is represented as T

     m = mass is represented as M

Considering A

and    

Hence

            is dimensionally consistent

Considering B

and      

Hence

       is not dimensionally consistent

Considering C

and  

Hence

     is dimensionally consistent

Considering D

and

Hence

     is not dimensionally consistent

Considering E

;

and  

Hence

      is not dimensionally consistent

Considering F

and

         Note in dimensional analysis numbers are

                                                       not considered

  Hence

         is dimensionally consistent

Considering G

and

Hence

        is dimensionally consistent

Considering H

,

and

Hence

     is not dimensionally consistent

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step-by-step explanation:

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