How many photons of light with frequency 5.50 × 10¹⁵ Hz are required to provide 1 kJ of energy? A)3.64 × 10^-18 photons B)2.74 × 10²⁰ photons C)4.56 × 10^-4 photons D)1.65 × 10⁴⁴ photons E)3.64 × 10^-16 photons

Question

Quizplus · Accepted Answer

The energy of one photon is given as E= hf, where h is Planck's constant and f is the frequency of the photon.
We need to find the number of photons required to provide 1 kJ of energy.
1 kJ = 1000 J
So, the energy of one photon that can provide 1000 J of energy is:
E = (1000 J)/N, where N is the number of photons
E = hf
Therefore, N = (1000 J)/(hf)
Now, we need to find the frequency of the photon, which is given as 5.50 × 10^15 Hz.
Substituting the values, we get:
N = (1000 J) / [(6.626 x 10^-34 J s) (5.50 × 10^15 Hz)]
N = 2.74 × 10^20 photons
Therefore, the answer is B) 2.74 × 10^20 photons.

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