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

Check whether the equation mv^2=mgh is dimensionally correct or not.

Check whether the equation T=2πsqrt ( m/g) is dimensionally correct.Where T is the Time period of a simple pendulum , m is the mass of the bob and g is the acceleration due to gravity

Use your definition to explain how simple harmonic motion can be represented by the equation y=a sin omega t Show that the above equation is dimensionally correct

The correctness of an equation can be checked using the principle of homogenity in dimensions. Using this principle check whether the equation, f=2πsqrt(l/g) is dimensionally correct,where f -frequency, l -length, g acceleration due to gravity.

Check whether the following function is odd, even or neither: f(x) = xg(x) g (-x)+ tan (sinx)

(ii)Check whether the following statement: is true or false by contrapositive method:"If x and Y are odd integers the xy is odd".

Check the correctness of the following equation by the method of dimensions. s=ut+1/2at^2

Check whether the following sentences are statements.Give reasons for your answer.(i)8 is less than 6.