(c) 16 x 10-5
Given exp.\(\Rightarrow\) \(\sqrt {0.016\times a}\) = 0.0016 x \(\sqrt b\)
\(\Rightarrow\) \(\sqrt {0.016}\times \sqrt a\) = 0.0016 x \(\sqrt b\) \(\Rightarrow\) \(\frac{\sqrt a}{\sqrt{b}}\) = \(\frac{0.0016}{\sqrt{0.016}} \)
\(\Rightarrow\) \(\frac{a}{b}\) = \(\frac{0.0016\times0.0016}{0.016}\) = 0.00016
= \(\frac{16}{100000}\) = 16 x 10-5.