Answer:[tex]6\times 10^{15} Hz[/tex]
Explanation:
Given
wavelength of radiation [tex]\lambda =5\times 10^{-8} m[/tex]
and [tex]velocity(v)=frequency(\nu )\cdot wavelength(\lambda )[/tex]
Here [tex]v=velocity\ of\ light=3\times 10^8 m/s[/tex]
thus
[tex]\nu =\frac{c}{\lambda }[/tex]
[tex]\nu =\frac{3\times 10^8}{5\times 10^{-8}}[/tex]
[tex]\nu =0.6\times 10^{16}[/tex]
[tex]\nu =6\times 10^{15} Hz[/tex]
The frequency of radiation with a wavelength of 5.00 x 10^-8m is
6 x10¹⁶s⁻¹
In Physics, For Electromagnectic waves/radiation, there exist a relationship between the frequency and wavelength in that they are inversely proportional to each other which we can see by the formula,
λ = c / f
where
c is the speed of light, 3 x 10 ⁸m/s
λ the wavelength in meters,m and
f is the frequency in cycles per second.
λ = c / f
f = c / λ
f = ( 3 x 10 ⁸m/s) / (5.00 x 10⁻⁸m)
f = 6 x 10¹⁶s⁻¹
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