The wavelength of light of a particular colour is 5800 Å.

Express it in —

(a) nanometer and

(b) metre

As we know, 1nm = 10 Å

Given,

The wavelength of light = 5800 Å

Substituting the value of wavelength in the relation above, we get,

$10 Å = 1nm \\[0.5em] 1 Å = \dfrac{1}{10}nm \\[0.5em] 5800 Å = \dfrac{1}{10} \times 5800 nm\\[0.5em] \Rightarrow 5800 Å = 580 nm\\[0.5em]$

Hence, wavelength of 5800 Å in nm = 580 nm.

(b) As we know,
1m = 10¹⁰ Å

Given,

The wavelength of light = 5800 Å

Substituting the value of wavelength in the relation above, we get,

$10^{10} Å = 1m \\[0.5em] 1 Å = 10^{-10} m \\[0.5em] 5800 Å = 5800 \times 10^{-10} m \\[0.5em] \Rightarrow 5800 Å = 5.8 \times 10^{-7} m \\[0.5em]$

Hence, wavelength of 5800 Å in m = 5.8 x 10 ^-7m.