contestada

A certain type of laser emits light that has a frequency of 4.2 Ă— 1014 Hz. The light, however, occurs as a series of short pulses, each lasting for a time of 3.2 Ă— 10-11 s. (a) What is the wavelength of this light? (b) How many wavelengths are there in one pulse?

Respuesta :

Explanation:

It is given that,

Frequency of the laser light, [tex]f=4.2\times 10^{14}\ Hz[/tex]

Time, [tex]t=3.2\times 10^{-11}\ s[/tex]

(a) Let [tex]\lambda[/tex] is the wavelength of this light. It can be calculated as :

[tex]\lambda=\dfrac{c}{f}[/tex]

[tex]\lambda=\dfrac{3\times 10^8}{4.2\times 10^{14}}[/tex]

[tex]\lambda=7.14\times 10^{-7}\ m[/tex]

or

[tex]\lambda=714\ nm[/tex]

(b) Let n is the number of the wavelengths in one pulse. It can be calculated as :

[tex]n=f\times t[/tex]

[tex]n=4.2\times 10^{14}\times 3.2\times 10^{-11}[/tex]

n = 13440

Hence, this is the required solution.

Q&A Education