Answer:
Solution given:
t=
where
t=time and it's dimension is [T¹]
m=mass and its dimension is [M¹]
dimension of constant term is nothing.
t=
squaring on both side
we get
t²=4π²*
since 4π² has no dimension
Dimension of t²=[T²]
Dimension of m=[M¹]
Dimension of k=?
By using
The principle of homogeneity of dimension we get
Dimension of t²=dimension of
[T²]=
doing crisscrossed multiplication
K=
dimension of k is
or
since length is absent