Question

g Estimate the number of photons emitted by the Sun in a second. The power output from the Sun is 4 × 1026 W and assume that the average wavelength of each photon is 550 nm.

Answer 1

The value is
`N = 1.107 *10^(45 ) \ photons`

Step-by-step explanation:

From the question we are told that

The power output from the sun is
`P_o = 4 * 10^(26) \ W`

The average wavelength of each photon is
`\lambda = 550 \ nm = 550 *10^(-9) \ m`

Generally the energy of each photon emitted is mathematically represented as

`E_c = (h * c )/( \lambda )`

Here h is the Plank's constant with value
`h = 6.62607015 * 10^(-34) J \cdot s`

c is the speed of light with value
`c = 3.0 *10^(8) \ m/s`

So

`E_c = (6.62607015 * 10^(-34) * 3.0 *10^(8) )/( 550 *10^(-9) )`

=>
`E_c = 3.614 *10^(-19) \ J`

Generally the number of photons emitted by the Sun in a second is mathematically represented as

`N = (P )/(E_c)`

=>
`N = (4 * 10^(26) )/(3.614 *10^(-19))`

=>
`N = 1.107 *10^(45 ) \ photons`