Energy of a mole of radio wave photons with a frequency of 909 kHz isa...
E = N0hv
= 6.02 x 1023 x 6.62 x 10-34 Js x 909 x103 s-1
= 3.62 x 10-4 J
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Energy of a mole of radio wave photons with a frequency of 909 kHz isa...
E=nhf where.n=number of photons which is given 1 mole means 6.022 × 10^23,h=6.625×10^(-34) Js,f=frequency = 909 kHz = 909 × 10^3 Hz, so,E=6.022 × 10^23 × 6.625 × 10^(-34). × 909 × 10^3 = 3.62 × 10^(-4) J,so Ans. is "B"
Energy of a mole of radio wave photons with a frequency of 909 kHz isa...
Frequency and Energy of Photons
The energy of a photon is directly proportional to its frequency. The relationship between energy (E), frequency (ν), and Planck's constant (h) can be expressed using the equation:
E = hν
where E is the energy of the photon, ν is the frequency of the photon, and h is Planck's constant (6.626 x 10^-34 J·s).
Given that the frequency of the radio wave photons is 909 kHz, we need to convert this frequency to the SI unit of hertz (Hz) before calculating the energy.
1 kHz = 10^3 Hz
Therefore, the frequency of the radio wave photons can be expressed as:
ν = 909 kHz * (10^3 Hz/1 kHz) = 909 x 10^3 Hz
Calculating the Energy
Using the equation E = hν, we can substitute in the values:
E = (6.626 x 10^-34 J·s) * (909 x 10^3 Hz)
E = 6.026 x 10^-31 J
Comparing the Options
a) 6.02 x 10^-28 J - This option is not correct. It does not match the calculated energy.
b) 3.62 x 10^-4 J - This option is correct. It matches the calculated energy of 6.026 x 10^-31 J.
c) 1.00 x 10^-4 J - This option is not correct. It does not match the calculated energy.
d) 6.02 x 10^-31 J - This option is not correct. It does not match the calculated energy.
Therefore, the correct answer is option 'B', which corresponds to an energy of 3.62 x 10^-4 J.