Question

What is the frequency of orange light is it has a wavelength of 6.2 x 10^-6
meters?

Answer 1

λ=v/f

λ-wavelength

v-speed

f-frequency

we have the wavelength(6.2 x 10^-6meters) and we use the speed of light which is equal to 3*10^8m/s

6.2*10^-6m=3*10^8m/s/f

f=(3*10^8m/s)/(6.2*10^-6)≈0.48*10^14Hz

Answer 2

The frequency of orange light is:

`f=\:4.8\:* \:10^(13)` Hz

Explanation:

The relation between frequency and wavelength is

• v = fλ

Here,

• v = c = 3×10⁸ m/s

• wavelength λ = 6.2 x 10⁻⁶ m

Therefore, using the formula

f = c / λ

`=(\left(3* 10^8\right))/(\left(6.2\:* 10^(-6)\right))\:`

`\mathrm{Apply\:exponent\:rule}:\quad (x^a)/(x^b)=x^(a-b)`

`=(3* \:10^(8-\left(-6\right)))/(6.2)`

`=(10^(14)* \:3)/(6.2)`

`=\:4.8\:* \:10^(13)` Hz

Therefore, the frequency of orange light is:

`f=\:4.8\:* \:10^(13)` Hz