What is the frequency of yellow light with an energy of $$ 3.4 \times 10^{-19} \mathrm{~J} $$ ? $$ \begin{array}{c}\mathrm{h}=6.626 \times 10^{-34} \mathrm{~J} \cdot \mathrm{~s} \ {[?] \times 10^{[?]} \mathrm{Hz}}\end{array} $$

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To determine the frequency ($$ f $$) of yellow light with an energy ($$ E $$) of $$ 3.4 \times 10^{-19} $$ joules, you can use the relationship between energy and frequency given by Planck's equation:

$$
E = h \cdot f
$$

Where:
- $$ E $$ is the energy of the photon,
- $$ h $$ is Planck's constant ($$ 6.626 \times 10^{-34} \, \mathrm{J \cdot s} $$),
- $$ f $$ is the frequency of the light.

Rearranging the equation to solve for $$ f $$:

$$
f = \frac{E}{h}
$$

Plugging in the known values:

$$
f = \frac{3.4 \times 10^{-19} \, \mathrm{J}}{6.626 \times 10^{-34} \, \mathrm{J \cdot s}} = \frac{3.4}{6.626} \times 10^{(-19) - (-34)} \, \mathrm{Hz}
$$

$$
f \approx 0.513 \times 10^{15} \, \mathrm{Hz}
$$

This can be expressed in standard scientific notation as:

$$
f \approx 5.13 \times 10^{14} \, \mathrm{Hz}
$$

**Final Answer:**
The frequency of the yellow light is $$ 5.13 \times 10^{14} $$ Hz.
The frequency of the yellow light is $$ 5.13 \times 10^{14} $$ Hz.

What is the frequency of yellow
light with an energy of ?

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