The energy equivalent of 1g of substance is : (1) 11.2 x 10^{24} MeV (2) 5.6 x 10^{12} MeV (3) 5.6 eV

Question

The energy equivalent of 1g of substance is:

(1) \(11.2 \times 10^{24} \ \mathrm{MeV}\)

(2) \(5.6 \times 10^{12} \ \mathrm{MeV}\)

(3) \(5.6 \mathrm\ {eV}\)

(4) \(5.6 \times 10^{26} \ \mathrm{MeV}\)

Answer 1

Correct option is : (4) \( 5.6 \times 10^{26} \ \mathrm{MeV}\)  

\(E=m C^{2}\)

\( \begin{aligned} \Rightarrow \mathrm{E} & =\left(1 \times 10^{-3}\right) \times\left(3 \times 10^{8}\right)^{2} \mathrm{~J} \end{aligned} \)

\( \begin{aligned} \Rightarrow \mathrm{E} & =\left(10^{-3}\right)\left(9 \times 10^{16}\right)\left(6.241 \times 10^{18}\right) \mathrm{eV} \end{aligned} \)  

\(\begin{aligned} \mathrm{E} & =56.169 \times 10^{31} \mathrm\ {eV} \end{aligned} \)  

\(\begin{aligned} \mathrm{E} & \approx 5.6 \times 10^{26} \mathrm\ {MeV} \end{aligned} \)