Question

In one experiment, 2000 photons are detected in a 0.50mm -wide strip where the amplitude of the electromagnetic wave is 900V/m .

What is the wave amplitude at a nearby 0.80mm -wide strip where 1000 photons are detected?

Answer 1

the amplitude emitted photon detected in wide stip is E= n x h x mui / w

                                  E₁=900V/m, w₁=0.50mm = 5x10^-4m,     n₁= 2000

                                     E₂=?    , w₂= 0.80mm   = 8x10^-4m,    n₂= 1000

                E₁= n₁ xh x mui / w_{1 ,}                      E₂= n₂ x h x mui / w₂

                 E₂/ E₁=( n₂ x h x mui / w₂) / (n₁ x h x mui / w₁)

                          E₂ =( E₁ x n₂ x w₁) / (n₁ x w₂)

                                 = (900 x 1000 x 5x10^-4)/ (2000 x 8x10^-4)

                              E₂= 281.25 V/m

The amplitude of 1000 photons detected in 0.80 mm wide strip is 281.25 V/m