Question

The energy of a photon is E=\frac{hc}{\lambda}E = h c λ where c is the speed of light and h is a constant known as Planck's constant. If a red photon has twice the wavelength of a violet photon, then the energy of the red photon is the energy of the violet photon. This shows that short-wavelength photons carry proportionally energy than long-wavelength photons.

Answer 1

Answer: As a red photon has a twice of the wavelegth to the violet photon then the red photon has half energy of the violet photon.

Explanation: In order to explain the above statement we have to consider the Plack postulate where the energy of photons depend directely of the frequency . As the wavelength and frequency are related by :

c= λ*υ c is the speed of light,  λ is the wavelength and υ the frequency of the photon

so the energy of  photons are inversely proportional to the wavelength.

As a consequence twice wavelengtht means half energy for the photon.