a photon has a frequency of 7.3×10⁻¹⁷ hz. plancks constant is 6.63×10⁻³⁴ j·s. the energy of the photon, to…
a photon has a frequency of 7.3×10⁻¹⁷ hz. plancks constant is 6.63×10⁻³⁴ j·s. the energy of the photon, to the nearest tenths place, is ×10⁻⁵⁰ j.
Answer
Explanation:
Step1: Recall energy - frequency formula
The energy of a photon is given by $E = h\nu$, where $E$ is the energy, $h$ is Planck's constant, and $\nu$ is the frequency.
Step2: Substitute the given values
We have $h = 6.63\times10^{-34}\ J\cdot s$ and $\nu=7.3\times 10^{-17}\ Hz$. So $E=(6.63\times 10^{-34})\times(7.3\times 10^{-17})$.
Step3: Use the rule of exponents for multiplication
$a^m\times a^n=a^{m + n}$. So $E=(6.63\times7.3)\times10^{-34-17}$. $6.63\times7.3 = 48.399$. $E = 48.399\times10^{-51}$.
Step4: Rewrite in scientific - notation
$E=4.8399\times 10^{-50}$.
Step5: Round to the nearest tenths place
Rounding $4.8399$ to the nearest tenths place gives $4.8$.
Answer:
$4.8$