1.

If \(\sqrt {0.04 \times 0.4\times a}\) = 0.004 x 0.4 x \(\sqrt b\) ,then \(\frac{a}{b}\) is(a) 16 × 10–3(b) 16 × 10–4(c) 16 × 10–5(d) 16 × 10–2

Answer»

(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.



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