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A local FM radio station broadcasts at a frequency of 99.7 MHz. Calculate the energy of the frequency at which they are broadcasting.

Answer :

660.62 × 10⁻²⁵ Joule energy of radio wave at which radio station is broadcast.

We use the relationship between the energy of photons and the plank constant. The constant shows how the energy and frequency of a photon are related. (E = hν)

E = Energy of photon, h = plank constant, ν = frequency of wave

now, ν = 99.7 mhz h = 6.62607015×10−34 joule-hz−1

Then, E = 99.7 × 10⁹ hz × 6.62607015 × 10⁻³⁴ joule-hz−1

= 660.62 × 10⁻²⁵ joule

To learn more about plank constant click here:

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Rewritten by : Barada

To calculate the energy of a photon at the 99.7 MHz frequency, convert frequency to Hz, then use the formula E = h × f, where h is Planck's constant (6.626 x 10⁻³⁴ J s) and f is the frequency. The result is 6.60907 x 10⁻²⁶ Joules.

Calculating the Energy of a Radio Frequency

To calculate the energy of the frequency at which a local FM radio station broadcasts (99.7 MHz), we can use the formula for the energy of a photon, which is E = h × f, where E is energy, h is Planck's constant (6.626 x 10⁻³⁴ J s), and f is the frequency in hertz (Hz). First, we need to convert the frequency from MHz to Hz by multiplying the frequency by 106. Therefore, 99.7 MHz is equivalent to 99.7 x 106 Hz.

Now we can calculate the energy of a photon at this frequency:
E = (6.626 x 10⁻³⁴ J s) × (99.7 x 10⁶ Hz)

This gives us E = 6.626 x 10⁻³⁴ J s × 99.7 x 10⁶ Hz

= 6.60907 x 10⁻²⁶ Joules.

The energy of a photon emitted by the FM station broadcasting at 99.7 MHz is 6.60907 x 10⁻²⁶ Joules.