Question

To verify truth of physical equation by using dimensional analysis method.
T=2^ma/F
Where T is period, mis mass, x is displacement
& Fis force​

Answer 1

Answer:

So

Time = square root ( mass x space / force )

Time in s

Mass in kg

Space in m

Force in kg m/s^2

$s = \sqrt{kg \times m \times ({ \frac{kg \times m}{ {s}^{2} } })^{ - 1} }$

${s}^{2} = kg \times m \times \frac{ {s}^{2} }{kg \times m}$

Everything goes away. Kilograms with kilograms, meters with meters and square seconds with square seconds.

Basically you get a

$1 = 1$

That tells you that the equation is dimensionally correct.