ok so heres the question:

Calculate the energy of a photon of electromagnetic radiation at each of the following frequencies.
For 100.7 MHz.
the equation to be used is E=Hc/lambda
H is planks constant: 6.626*10^ -34. andddd c is the speed of light: 3.0010^8.

the answer is 6.672×10−26 J.
but i got 1.974*10^ -21 and that's wrong. so i don't know what to plug in to get the correct answer.

E = h*frequency (you can use hc/lambds but you must then convert 100.7 MHz to wavlength. Using h*f avoids this conversion).

E = 6.626E-34*100.7E6 = 6.672E-26
If you had shown your work I could have found the error.

To calculate the energy of a photon of electromagnetic radiation at a given frequency, you can use the equation E = H * c / λ, where E is the energy of the photon, H is Planck's constant (6.626 × 10^-34 J·s), c is the speed of light (3.00 × 10^8 m/s), and λ is the wavelength.

In this case, the given frequency is 100.7 MHz. First, we need to convert the frequency from MHz (megahertz) to Hz (hertz). Since 1 MHz = 1 × 10^6 Hz, the frequency becomes 100.7 × 10^6 Hz.

Next, we can calculate the wavelength (λ) using the formula: λ = c / f, where c is the speed of light and f is the frequency. Plugging in the values, λ = (3.00 × 10^8 m/s) / (100.7 × 10^6 Hz).

Now, we can substitute the values into the energy equation: E = (6.626 × 10^-34 J·s) * (3.00 × 10^8 m/s) / [(3.00 × 10^8 m/s) / (100.7 × 10^6 Hz)].

Simplifying the equation, we get: E = (6.626 × 10^-34 J·s) * (100.7 × 10^6 Hz).

Multiplying the values, we get: E ≈ 6.672 × 10^-26 J.

Therefore, the correct answer for the energy of a photon of electromagnetic radiation at 100.7 MHz is approximately 6.672 × 10^-26 J.

To calculate the energy of a photon of electromagnetic radiation, you can use the equation E = h * c / λ, where:

E represents the energy of the photon,
h is Planck's constant (6.626 * 10^-34 J⋅s),
c is the speed of light (3.00 * 10^8 m/s),
and λ (lambda) is the wavelength of the radiation.

In your case, the given frequency is 100.7 MHz (megahertz), which represents 100.7 * 10^6 Hz. To find the wavelength, you can use the relationship between frequency and wavelength:

c = λ * ν

Rearranging this equation, the wavelength (λ) can be calculated as:

λ = c / ν

Substituting the values you provided:

λ = (3.00 * 10^8 m/s) / (100.7 * 10^6 Hz)

λ ≈ 2.976 * 10^-3 meters (approximately)

Now that we have the wavelength, we can calculate the energy using the equation E = h * c / λ:

E = (6.626 * 10^-34 J⋅s) * (3.00 * 10^8 m/s) / (2.976 * 10^-3 meters)

E ≈ 6.672 × 10^-26 J

Therefore, the correct answer for the energy of a photon with a frequency of 100.7 MHz is 6.672 × 10^-26 J. It seems there was an error in your calculation, possibly due to incorrect values or units.