What is the energy of gamma ray photon having a wavelength of 1 AU.
Answers
We have to find the energy of gamma ray photon having a wavelength of 1 AU.
solution : wavelength of gamma ray photon, λ = 1 AU = 1 astronomical unit = 1.5 × 10¹¹ m
we know, 1 astronomical unit = 1.496 × 10¹¹ m ≈ 1.5 × 10¹¹ m
we know, Energy of a photon is given by, E = hc/λ
where h is Plank's constant, c is speed of light and λ is wavelength.
here h = 6.63 × 10¯³⁴ Js , c = 3 × 10^8 m/s and λ = 1.5 × 10¹¹ m
so, E = (6.63 × 10¯³⁴ × 3 × 10^8)/(1.5 × 10¹¹)
= 13.26 × 10^-37 J
= 1.326 × 10¯³⁶ J
Therefore the energy of gamma ray is 1.326 × 10¯³⁶ J.
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