The frequency ( u) 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 u=r^aρ^bs^c. The values of a, b and c respectively are

Question

The frequency (
u) 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 
u=r^aρ^bs^c. The values of a, b and c respectively are

Accepted Answer

(2) (-3/2,-1/2,1/2). Given: 
u=[T⁻¹], r=[L], ρ=[ML⁻³], s=[MT⁻²]. Time: -1=-2c, so c=1/2. Mass: 0=b+c, so b=-1/2. Length: 0=a-3b, so a=3b=-3/2. Hence (-3/2,-1/2,1/2).

The frequency ( u) 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 u=r^aρ^bs^c. The values of a, b and c respectively are

Step-by-step solution

Why the other options are wrong