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

Answer:

The value is $N = 1.107 *10^{45 } \ photons$    

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

        $E_c = \frac{h * c }{ \lambda }$

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

       $E_c = \frac{6.62607015 * 10^{-34} * 3.0 *10^{8} }{ 550 *10^{-9} }$          

=>   $E_c = 3.614 *10^{-19} \ J$          

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

         $N = \frac{P }{E_c}$

=>      $N = \frac{4 * 10^{26} }{3.614 *10^{-19}}$

=>      $N = 1.107 *10^{45 } \ photons$