Answer:
Wavelength of light is 750 nm.
Explanation:
It is given that,
Frequency of light, [tex]\nu=4\times 10^{14}\ Hz[/tex]
The relationship between the wavelength and the frequency of light is given by :
[tex]c=\nu\times \lambda[/tex]
Where
c = speed of light
[tex]\nu[/tex] = frequency of light
[tex]\lambda[/tex] = wavelength of light
[tex]\lambda=\dfrac{c}{\nu}[/tex]
[tex]\lambda=\dfrac{3\times 10^8\ m/s}{4\times 10^{14}\ Hz}[/tex]
[tex]\lambda=7.5\times 10^{-7}\ m[/tex]
[tex]\lambda=750\ nm[/tex]
Hence, the correct option is (d) "750 nm".