A newly discovered particle, the SPARTYON, has a mass 945 times that of an electron. If a SPARTYON at rest absorbs an anti-SPARTYON, what is the frequency of each of the emitted photons (in 1020 Hz)? The mass of an electron is 9.11×10^-31 kg.

Respuesta :

Answer:

[tex]\nu =1166\times 10^{20}Hz[/tex]  

Explanation:

We have given the rest mass of SPARTYON = 945 times of mass of electron

We know that mass of electron [tex]=9.11\times 10^{-31}kg[/tex]

So mass of SPARTYON [tex]=945\times 9.11\times 10^{-31}=8608.95\times 10^{-31}kg[/tex]

Speed of light [tex]c=3\times 10^8m/sec[/tex]

According to Einstein equation energy is given by

[tex]E=mc^2=8608.95\times 10^{-31}\times (3\times 10^{8})^2=77480.55\times 10^{-15}j[/tex]

Now according to planks's rule

Energy is given by

[tex]E=h\nu[/tex] , here h is plank's constant [tex]h=6.6\times 10^{-34}[/tex]

So [tex]77480.55\times 10^{-15}=6.6\times 10^{-34}\nu[/tex]

[tex]\nu =1166\times 10^{20}Hz[/tex]