An 11,000-watt radio station transmits at 880 kHz. Calculate the energy of a single photon at the transmitted frequency.

_____ J/photon

5.8 x 10-28
5.8 x 10-31
7.5 x 10-40
7.5 x 10-37

Respuesta :

The energy of a single photon at the transmitted frequency is [tex] \bold{5834.4 \times 10^{-31} \mathrm{J}} [/tex]

Answer: Option b

Solution:

Energy of photon is given as [tex]E=\frac{h c}{\lambda}[/tex]

Where  c is the velocity of Light [tex]\left(3 \times 10^{8} m / s\right)[/tex]

h is planck's constant  [tex]\left(6.63 \times 10^{-34}\right)[/tex]

λ is the wavelength of photon  

Energy of photon can be rewritten as [tex]E=h \times f[/tex]

Where f is the frequency of photon  

Frequency of photon is obtained by dividing velocity of light by wavelength of photon.

[tex]f=\frac{c}{\lambda}[/tex]

[tex]E=6.63 \times 10^{-34} \times 880 \times 10^{3}=5834.4 \times 10^{-31} \mathrm{J}[/tex]

Answer:

5.8 x 10 -28

Explanation: