Answer:
(A) [tex]4.9\times 10^{-7}\ m[/tex]
Step-by-step explanation:
Given:
Frequency of the wave (f) = [tex]6.1\times 10^{14}\ Hz[/tex]
Speed of the wave (v) = [tex]3.00\times 10^8\ m/s[/tex]
The wavelength equation of the wave is given as:
[tex]\lambda=\dfrac{v}{f}[/tex]
Here, [tex]\lambda \to wave\ wavelength[/tex]
Now, plug in the given values and simplify.
[tex]\lambda=\frac{3\times 10^8}{6.1\times 10^{14}}\\\\\lambda=4.9\times 10^{-7}\ m[/tex]
Therefore, the wavelength of the wave is option (A) [tex]4.9\times 10^{-7}\ m[/tex]