Answer:
1/2, - 1/2
Explanation:
[tex]T=2\pi L^{p}\times g^{q}[/tex]
Write the dimensions on both the sides
The dimensions of T are [T]
The dimensions of L are [L]
The dimensions of g are [tex][LT^{-2}][/tex]
So, [tex][T]=[L]^{p}][LT^{-2}]^{q}[/tex]
[tex][T]=[L^{p+q}T^{-2q}][/tex]
Now compare the dimensions on both the sides for the corresponding terms
p + q = 0 ...... (1)
-2q = 1 ......... (2)
By solving equation (1) and (2), we get
q = - 1/2
p = 1 / 2
Thus, the value of p and q are 1/2 and - 1/2 respectively.
