य‌द‌ि `sqrt(0.04xx0.4xxa)=0.004xx0.4xxsqrt(b)` है तो `a/b` का मान ज्ञात करें?

Options

A. `16xx10^(-3)`
B. `16xx10^(-4)`
C. `16xx10^(-5)`
D. `16xx10^(-6)`

Answer

C

Explanation

`sqrt(0.04xx0.4xxa)=0.004xx0.4xxsqrt(b)`
`implies sqrt(4/100xx4/10xxa)=4/1000xx4/10sqrt(b)`
`implies 4/10sqrt(a/10)=4/10xx4/1000sqrt(b)`
`a/140=16/1000000 b`
`impliesa/b=(16xx10)/(1000000)=16/100000`
`a/b=16xx10^(-5)`