The frequency ν of an oscillating liquid drop may depend upon radius r of the drop, density ρ of liquid and the surface tension s of the liquid as: ν = r a ρ b s c . The values of a , b and c respectively are

Step-by-step solution

Here, we have ν = r a ρ b s c Equating the dimensions of each quantity on both sides T - 1 = L 1 a M 1 L - 3 b M L T - 2 L c ⇒ T - 1 = M b + c L a - 3 b T - 2 c Comparing the dimensions, we get c = 1 2 ,   b = - 1 2 ,   a - 3 b = 0 ⇒ a + 3 2 = 0 ⇒ a = - 3 2     Thus, the value of a , b and c are - 3 2 , - 1 2 ,   1 2 .