Question

question 34 (mandatory) (1 point)
what is the wavelength (λ, in meters) of a radio station operating at a frequency of 99.6 mhz?
a) 3.32 m
b) 3.01 m
c) 3.32×10⁻⁷ m
d) 0.332 m
e) 3.01×10⁶ m

Explanation:

Step1: Convert frequency unit

Given frequency \( f = 99.6\ MHz=99.6\times10^{6}\ Hz\).

Step2: Use the formula \(c = \lambda f\)

The speed of light \(c = 3\times10^{8}\ m/s\). From \(c=\lambda f\), we can solve for \(\lambda\), \(\lambda=\frac{c}{f}\).
Substitute \(c = 3\times10^{8}\ m/s\) and \(f = 99.6\times10^{6}\ Hz\) into the formula:
\(\lambda=\frac{3\times 10^{8}}{99.6\times10^{6}}=\frac{300}{99.6}\approx3.01\ m\)

Answer:

B. \(3.01\ m\)