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The energy equivalent to 1 amu mass is -

(i) 915 Mev 

(ii) 931 Mev 

(iii) 934 Mev 

(iv) 936 Mev

1 Answer

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Best answer

Correct option is: (ii) 931 Mev 

Atomic mass unit: It is a dalton or unified atomic mass unit defined as (amu) which is equal to 1/12 of the mass of an atom of a carbon -12 atom. 

1 amu = 931 MeV 

CALCULATION: 

On applying Einstein's mass-energy 

\(E = mc^2\)

Where E is energy, m is mass and c is the speed of light 

\(1 \ amu = 1.66 \times 10^{-27} kg\), speed of light (c) = \(3 \times 10^8 ms^{-1}\)

\(E = 1.66 \times 10^{-23} \times ( 3 \times 10^{-8})^2 = 14.94 \times 10^{-11}J\)

On converting the Energy into ev we have to divide the whole quantity by \(1.6 \times 10^{-19}\) we get 

\(\frac{14.94 \times 10^{-11}}{1.6 \times 10^{-19}} = 931 Mev\) (1 mega meter \(= 10^6m\)

• Hence, 1 amu has energy equal to 931 Mev.

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