The wavelength of sodium light is 0.0000005893 m. This can be expressed in powers of ten as

Options

A. `5.893xx10^(-6)m`
B. `5.893xx10^(-7)m`
C. `5.893xx10^(5)m`
D. `5.893xx10^(-8)m`

Answer

b

Explanation

As the number is less than one, start shifting the decimal point from left to right. Each shift is equivalent to multiplying by ten. To keep the value of the number constant, we have to divide by ten or multiplying by `10^(-1)`. In this case when we shift the decimal point to the right seven times, we get the number `0000005.893xx10^(-7)`. As the 6 zeros before 5 are of no use, we write the number as `5.893xx10^(-7)m`