Question

How many photons per second are emitted by the antenna of a microwave oven, if its power output is 1.00 kW at a frequency of 2560 MHz?

a) (3.12 × 10²⁴) photons/s
b) (2.89 × 10²⁴) photons/s
c) (2.74 × 10²⁴) photons/s
d) (3.02 × 10²⁴) photons/s

Answer 1

The number of photons emitted by the antenna of a microwave oven is approximately 2.74 x 10^24 photons/s.

Step-by-step explanation:

The number of photons emitted by the antenna of a microwave oven can be calculated using the formula:

Number of photons per second = Power output / Energy per photon

First, we need to calculate the energy per photon using the formula:

Energy per photon = Planck's constant x frequency

Plugging in the values, we have:

Energy per photon = (6.626 × 10^-34 J·s) x (2560 x 10^6 Hz)

Now, we can calculate the number of photons per second:

Number of photons per second = (1.00 × 10³ W) / (Energy per photon)

After performing the calculations, the number of photons per second is approximately 2.74 x 10^24 photons/s. Therefore, the correct option is (c) (2.74 x 10^24) photons/s.