a radio station broadcasts on a frequency of 103.7 mhz, which is the same as 1.037×10^8 hz. what is the…

Answer:

$6.871162\times 10^{-26}$

Explanation:

Step1: Recall energy - frequency formula

$E = h\nu$ where $E$ is energy, $h$ is Planck's constant, and $\nu$ is frequency.

Step2: Substitute given values

$h = 6.626\times 10^{-34}\text{ J}\cdot\text{s}$, $\nu=1.037\times 10^{8}\text{ Hz}$ $E=(6.626\times 10^{-34})\times(1.037\times 10^{8})$

Step3: Perform multiplication

Using the rule of exponents $a^m\times a^n=a^{m + n}$, we have: $E=(6.626\times1.037)\times10^{-34 + 8}$ $E = 6.871162\times 10^{-26}\text{ J}$