Question

a local fm radio station broadcasts at a frequency of 95.50 mhz.
calculate the wavelength at which they are broadcasting.
wavelength = meter
(1 mhz = 1×10⁶ sec⁻¹ )

Explanation:

Step1: Convert frequency to Hz

Given \( f = 95.50\ MHz\). Since \( 1\ MHz=1\times10^{6}\ Hz\), then \( f = 95.50\times10^{6}\ Hz\).

Step2: Use the formula \( c = \lambda f\) (where \( c = 3\times10^{8}\ m/s\) is the speed of light)

We can solve for \(\lambda\) (wavelength). Rearranging the formula gives \(\lambda=\frac{c}{f}\).
Substitute \( c = 3\times10^{8}\ m/s\) and \( f = 95.50\times10^{6}\ Hz\) into the formula:
\(\lambda=\frac{3\times10^{8}}{95.50\times10^{6}}\)

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Answer:

\(3.14\)