what is the approximate energy of a photon having a frequency of $4 imes10^{7}$ hz? ($h = 6.6 imes10^{-34}$ j·s)

$3 imes10^{-26}$ j

$2 imes10^{-41}$ j

$3 imes10^{42}$ j

$3 imes10^{-27}$ j

Question

what is the approximate energy of a photon having a frequency of $4	imes10^{7}$ hz? ($h = 6.6	imes10^{-34}$ j·s)

$3	imes10^{-26}$ j

$2	imes10^{-41}$ j

$3	imes10^{42}$ j

$3	imes10^{-27}$ j

Accepted Answer

# Explanation:
## Step1: Use the formula for photon energy
The formula for the energy of a photon is $E = h
u$, where $h$ is Planck's constant ($h = 6.6\times10^{-34}\text{ Js}$) and $
u$ is the frequency ($
u=4\times 10^{7}\text{ Hz}$).
## Step2: Substitute the values into the formula
$$
\begin{align*}
E&=(6.6\times 10^{-34}\text{ Js})\times(4\times 10^{7}\text{ Hz})\
&=(6.6\times4)\times(10^{-34}\times10^{7})\text{ J}\
& = 26.4\times10^{-27}\text{ J}\
&\approx3\times 10^{-26}\text{ J}
\end{align*}
$$

# Answer:
$3\times 10^{-26}\text{ J}$ (the first option)

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QUESTION IMAGE

Question

Explanation:

Step1: Use the formula for photon energy

Step2: Substitute the values into the formula

Answer: