A gas bubble, from an explosion under water, oscillates with a period proportional to PadbEc. Where P is the static pressure, d is the density and E is the total energy of the explosion. Find the value of a + b + c.
Time period T ∝ padbEc or, T = kpadbEc
k, is a dimensionless constant,
According to homogeneity of dimensions,
LHS =RHS
Comparing the powers, we obtain
a + b + c = 0
-a - 3b + 2c = 0
-2a - 2c = 1
On solving, we get
hence answer is 0
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