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

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

Check the dimensional consistency of the following equations. (ii) Escape velocity, v=sqrt((2GM)/(R ))

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

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 relations : (i) S= ut+(1)/(2)at^(2) (ii) (1)/(2)mv^(2)= mgh .

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

Using the dimensional analysis, check whether the following equation is correct or not: T=2pisqrt(R^(3)//GM) .

Check the dimensional consistency of the relation upsilon = (1)/(I) sqrt((P)/(rho)) where I is length, upsilon is velocity, P is pressure and rho is density,

Check whether the following equation is dimensionally correct 1/2mv^2=mgh

When moving with the same velocity which of the following particles has the largest de Broglie wavelength and why ? (i) Electron (ii) Proton (iii) alpha -particle.