Question

The frequency of green light is $6\times {10}^{14}Hz$. It's wavelength is:

• A. 50nm
• B. 5nm
• C. 5000nm
• D. 500nm

Answer 1

Answer: (D)

500nm

The relation between frequency and wavelenght.

$v=\frac{c}{\lambda }$

$c=$ velocity of light.

$\lambda =$ Wavelenght

$v=$ Frequency

$6{10}^{14}Hz=$$\frac{3\times {10}^{8}m/s}{\lambda }$

$\lambda =\frac{3\times {10}^8}{6\times {10}^{14}}=1/2\times {10}^{-6}=0.5\times {10}^{-6}\Rightarrow 5\times {10}^{-7}\times \frac{100}{100}=500\times {10}^{-9}m[\because 1\times {10}^{-9}m=1nm]=500nm$