IDNLearn.com: Your one-stop destination for reliable answers to diverse questions. Our Q&A platform offers reliable and thorough answers to ensure you have the information you need to succeed in any situation.
Sagot :
To find the frequency of a photon given its energy, we can use the formula:
[tex]\[ E = h \cdot f \][/tex]
where:
- [tex]\( E \)[/tex] is the energy of the photon,
- [tex]\( h \)[/tex] is Planck's constant, and
- [tex]\( f \)[/tex] is the frequency.
Given values:
- Energy [tex]\( E = 3.38 \times 10^{-19} \)[/tex] Joules
- Planck's constant [tex]\( h = 6.626 \times 10^{-34} \)[/tex] Joule seconds
We can rearrange the formula to solve for frequency [tex]\( f \)[/tex]:
[tex]\[ f = \frac{E}{h} \][/tex]
Substitute the given values into the formula:
[tex]\[ f = \frac{3.38 \times 10^{-19}}{6.626 \times 10^{-34}} \][/tex]
Carrying out the division, we obtain:
[tex]\[ f = 5.10 \times 10^{14} \text{ Hz} \][/tex]
Therefore, the frequency of the photon is [tex]\( 5.10 \times 10^{14} \)[/tex] Hz, which corresponds to option B.
[tex]\[ E = h \cdot f \][/tex]
where:
- [tex]\( E \)[/tex] is the energy of the photon,
- [tex]\( h \)[/tex] is Planck's constant, and
- [tex]\( f \)[/tex] is the frequency.
Given values:
- Energy [tex]\( E = 3.38 \times 10^{-19} \)[/tex] Joules
- Planck's constant [tex]\( h = 6.626 \times 10^{-34} \)[/tex] Joule seconds
We can rearrange the formula to solve for frequency [tex]\( f \)[/tex]:
[tex]\[ f = \frac{E}{h} \][/tex]
Substitute the given values into the formula:
[tex]\[ f = \frac{3.38 \times 10^{-19}}{6.626 \times 10^{-34}} \][/tex]
Carrying out the division, we obtain:
[tex]\[ f = 5.10 \times 10^{14} \text{ Hz} \][/tex]
Therefore, the frequency of the photon is [tex]\( 5.10 \times 10^{14} \)[/tex] Hz, which corresponds to option B.
We appreciate your presence here. Keep sharing knowledge and helping others find the answers they need. This community is the perfect place to learn together. For clear and precise answers, choose IDNLearn.com. Thanks for stopping by, and come back soon for more valuable insights.