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.