Check by the method of dimension whether the following equations are correct: `E=mc^2`.

Check by the method of dimensions, whether the folllowing relation are dimensionally correct or not. (i) upsilon = sqrt(P//rho) , where upsilon is velocity. P is prerssure and rho is density. (ii) v= 2pisqrt((I)/(g)), where I is length, g is acceleration due to gravity and v is frequency.

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

Check whether the following shapes are symmetrical or not.

Check whether the following shapes are symmetrical or not.

Check whether the following shapes are symmetrical or not.

Check whether the following shapes are symmetrical or not.

A student conclude that the velocity v of a body falling freely under gravity from a height is equal to sqrt(gh) . Using the method of dimensions, verify whether his coclusion is correct.

Which of the following is correct? e^(2)>2^(e)

Check by dimensions whether the equation tan theta=(rg)/(v^(2)) is correct. Here, r = radius of curvature of path, g = acceleration due to gravity v = velocity of body moving on the curved path, theta = angle of banking of the road

Statement 1: Method of dimensions cannot tell whether an equations is correct. And Statement 2: A dimensionally incorrect equation may be correct.