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Grade 109 grade science

How can light have momentum as it does not have mass and p=mv

Profile image of Rahul Jiji George
11 Years agoGrade 10
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1 Answer

Profile image of Saurabh Kumar
11 Years ago
The theory of Special Relativity, proved in 1905 (or rather the 2nd paper of that year on the subject) gives an equation for the relativistic energy of a particle;

E2=(m0c2)2+p2c2

where m0 is the rest mass of the particle (0 in the case of a photon). Hence this reduces to E=pc. Einstein also introduced the concept of relativistic mass (and the related mass-energy equivalence) in the same paper; we can then write

mc2=pc

where m is the relativistic mass here, hence

m=p/c

In other words, a photon does have relativistic mass proportional to its momentum.