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Wave Optics

Question

The energy in MeV is released due to transformation of 1kg mass completely into energy is (c=3×10⁸ m/s)

7.625×10MeV

10.5×10²⁹MeV

2.8×10^-28MeV

5.625×10²⁹MeV

Solution

5.625×10²⁹MeV

According to Einstein's mass energy equivalence

E=mc² =1×(3×10⁸)² =9×10¹⁶ J

= $\frac{9 \times 10^{16}}{1.6 \times 10^{- 13}} MeV (since 1 MeV = 1.6 \times 10^{- 13} J) = 5.625 \times 10^{29} MeV$