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Mass-Energy Relation

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According to de-Broglie hypothesis, the wavelength associated with moving electron of mass 'm' is 'lambda_(e)' . Using mass energy relation and Planck's quantum theory, the wavelength associated with photon is 'lambda_(p)' . If the energy (E) of electron and photonm is same, then relation between lambda_e and 'lambda_(p)' is

Einstein's mass - energy relation emerging out of his famous theory of relativity relates mass (m) to energy (E ) as E = mc^2, where c is speed of light in vacuum. At the nuclear level, the magnitudes of energy are vary small. The energy at nuclear level is usually measured in MeV, where 1 MeV = 1.6 xx 10^(-13) J , the masses are measured in unified mass unit (u) where 1 u = 1.67xx10^(-27)kg. (a) Show that the energy equivalent of 1u is 931.5 MeV. (b) A student writes the relation as 1 u = 931.5 MeV. The teacher points out that the relation is dimensionally incorrect. Write the correct relation.

In one model of the electron, the electron of mass me is thought to be a uniformly charged shell of radius R and total charge e, whose electrostatic energy E is equivalent to its mass me via Einstein's mass energy relation E = m_(e)c^(2) . In this model, R is approximately ( m_(e) = 9.1 xx 10^(-31) kg, c = 3 xx 10^(8), 1//4 pi epsilon_(0) = 9 xx 10^(9) "Farad" m^(-1) , magnitude of the electron charge = 1.6 xx 10^(-19)C ) –

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Mass energy equation was propounded by

Assertion: Mass and energy are not conserved separately, but are conserved as a single entity called mass-energy. Reason: Mass and energy conservation can be obtained by Einstein equation for energy.

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