Question

question 24 of 25
an electromagnetic wave has a frequency of 4.0×10^18 hz. what is the wavelength of the wave? use the equation λ = v/f and 3.0×10^8 m/s for the speed of light.

a. 7.5×10^26 m
b. 1.3×10^(-26) m
c. 7.5×10^(-11) m
d. 1.3×10^10 m

Explanation:

Step1: Identify given values

$v = 3.0\times10^{8}\text{ m/s}$, $f=4.0\times 10^{18}\text{ Hz}$

Step2: Substitute values into formula

$\lambda=\frac{v}{f}=\frac{3.0\times 10^{8}}{4.0\times 10^{18}}$

Step3: Calculate wavelength

Using the rule of exponents $\frac{a^m}{a^n}=a^{m - n}$, we have $\frac{3.0}{4.0}\times10^{8-18}= 0.75\times10^{- 10}=7.5\times10^{-11}\text{ m}$

Answer:

C. $7.5\times 10^{-11}\text{ m}$