use planks constant E =  3.75 × 10–16

To use Planck's constant \( h \) in a calculation where energy \( E \) is given, you can apply the formula:

\[
E = h \cdot f
\]

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

Given:
\[
E = 3.75 \times 10^{-16} \, \text{J}
\]

To find the frequency \( f \), rearrange the formula:

\[
f = \frac{E}{h}
\]

Substitute the values:

\[
f = \frac{3.75 \times 10^{-16} \, \text{J}}{6.626 \times 10^{-34} \, \text{J} \cdot \text{s}}
\]

Now, let's calculate \( f \):

\[
f \approx \frac{3.75 \times 10^{-16}}{6.626 \times 10^{-34}} \, \text{Hz}
\]

Let's compute that.The frequency \( f \) corresponding to the energy \( E = 3.75 \times 10^{-16} \) joules is approximately \( 5.66 \times 10^{17} \) Hz.

Would you like more details on this calculation or have any questions?

Here are some related questions to expand your understanding:

1. How is Planck's constant related to the energy of photons in different parts of the electromagnetic spectrum?
2. What are the implications of a photon having a higher frequency in terms of energy?
3. How does the energy of a photon relate to its wavelength?
4. Can you derive the wavelength of a photon from its frequency and Planck's constant?
5. How is Planck's constant used in quantum mechanics beyond just calculating photon energy?

**Tip:** Understanding the relationship between energy, frequency, and Planck's constant is key in quantum mechanics, especially in the study of light and other electromagnetic waves.

Learn how to calculate the frequency of a photon given its energy using Planck's constant. Example calculation: Energy E = 3.75 × 10^-16 J yields a frequency f ≈ 5.66 × 10^17 Hz. Explore the relationship between energy, frequency, and Planck's constant in quantum mechanics.

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