time period of an oscillating drop of radius r density p and surface tension s is T= k underrooot pr^3 /s check the correctness of the relation
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Given:
The time period of an oscillating drop of radius r density p and surface tension s is T= k underrooot pr^3 /s
To find:
Check the correctness of the relation
Solution:
From given, we have,
The time period of an oscillating drop of radius r density p and surface tension s is T= k underrooot pr^3 /s
here, we use the dimensional equations to find the correctness of the given equation.
T= k underrooot pr^3 /s
LHS:
T = [T]
RHS:
k underrooot pr^3 /s = underroot [M^{-1}L^{-3}[L^3] / [M^1L^0T^{-2}] = [T]
k underrooot pr^3 /s = [T]
As LHS = RHS . the given relation is correct.
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