Question

If frequency can be represented as f = (radius)a (density)b (surface tension)c. Find a, b, c?

• A. a = $\frac{3}{2}$, b = $\frac{1}{2}$, c = $\frac{-1}{2}$
• B. a = $\frac{-3}{2}$, b = $\frac{-1}{2}$, c = $\frac{1}{2}$
• C. a = $\frac{-3}{2}$, b = $\frac{1}{2}$, c = $\frac{-1}{2}$
• D. a = $\frac{1}{2}$, b = $\frac{3}{2}$, c = $\frac{-1}{2}$

Answer 1

Answer: (B)

a = $\frac{-3}{2}$, b = $\frac{-1}{2}$, c = $\frac{1}{2}$

Answer 2

M0L0T–1 = La(ML–3)b(MT–2)c
M0L0T–1 = LaMbL–3b McT–2c
Equivalent the power of MLT
M $\Rightarrow$ 0 = b + c
L $\Rightarrow$ 0 = a – 3b
T $\Rightarrow$ –1 = – 2c
a = $\frac{-3}{2}$, b = $\frac{-1}{2}$, c = $\frac{1}{2}$