Explanation:
Given that,
Wavelength of the laser light, [tex]\lambda=1062\ nm=1062\times 10^{-9}\ m[/tex]
The laser pulse lasts for, [tex]t=34\ ps=34\times 10^{-12}\ s[/tex]
(a) Let d is the distance covered by laser in the given by, [tex]d=c\times t[/tex]
[tex]d=3\times 10^8\times 34\times 10^{-12}[/tex]
d = 0.0102 meters
Let n is the number of wavelengths found within the laser pulse. So,
[tex]n=\dfrac{d}{\lambda}[/tex]
[tex]n=\dfrac{0.0102}{1062\times 10^{-9}}[/tex]
n = 9604.51
(b) Let t is the time need to be fit only in one wavelength. So,
[tex]t=\dfrac{\lambda}{c}[/tex]
[tex]t=\dfrac{1062\times 10^{-9}}{3\times 10^8}[/tex]
[tex]t=3.54\times 10^{-15}\ s[/tex]
Hence, this is the required solution.