what is the energy of a radio wave with a frequency of 5.0 ghz, which is the same as 5.0×10^9 hz?\nh =…

Answer:

$3.313\times 10^{-24}$

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

$h = 6.626\times 10^{-34}\text{ J}\cdot\text{s}$, $\nu=5.0\times 10^{9}\text{ Hz}$ $E=(6.626\times 10^{-34}\text{ J}\cdot\text{s})\times(5.0\times 10^{9}\text{ Hz})$

Step3: Calculate the result

Using the rule of exponents $a^m\times a^n=a^{m + n}$, we have $E=(6.626\times5.0)\times10^{-34 + 9}\text{ J}=33.13\times 10^{-25}\text{ J}=3.313\times 10^{-24}\text{ J}$