Test the dimensional consistency of the following equations:` v^2 - u^2 - 2as`.

Test the dimensional consistency of the following equations: v= u + at

Test the dimensional consistency of the following equations: s= ut + (1/2) at^2

Test the dimensional consistency of the following equations : (i)v=u+at" "(ii) v^(2)=u^(2)+2as" "(iii)E=mc^(2)" "(iv)(1)/(2)mv^(2)=mgh

Check the dimensional consistency of the following equations : (i) upsilon = u +at (ii) s = ut +(1)/(2) at^2 (iii) upsilon^2 - u^2 = 2as

Check the dimensional consistency of the following equations : (i) de-Broglie wavelength , lambda=(h)/(mv) (ii) Escape velocity , v=sqrt((2GM)/(R)) .

An object acceleraties uniformly from initial velocity u to final velocity v. if travels distance s in time t. Then check the dimensional consistency of the following equations. Which of them are correct physically? (i) v_(av)=(u+v)/3 (ii) s=ut+1/2at^(2) (iii) v^(2)-u^(2)=(2s)/a

State the principle of homogeneity of dimensions.Test the dimensional homogeneity of the following equations:- h=h_0 + v_0*t+1/2g*t^2

Check the dimensional consistency of the equation (mV^2)/(r )= (Gm_(1)m_(2))/(r^2) .

Check the dimensional consistency of the relations : (i) S= ut+(1)/(2)at^(2) (ii) (1)/(2)mv^(2)= mgh .

Solve the following equations 8v-3u=5uv and 6v-5u=2uv