Shooting a particle with its isotope!

There is a uniformly charged disc of surface charge density σ \sigma and of radius 1m . H=10m height below the disc is a gun which is continuously emitting a charged particle and its isotope in the vertically upward direction. The particles are charged through same potential before being emitted. The charge of particle is q = 8 1 0 19 C q=8*10^{-19}C . The difference of potential energies of particle and the isotope at the centre of the disc is 1 0 23 J 10^{-23}J . Also the velocity of particle at the centre of the disc is 0. The ratio of masses of particle and isotope is 3 2 \frac{3}{2} . Find the total energy of isotope at the centre of the disc.

Given: σ ε 0 = 10 4 N / C \frac { \sigma }{ { \varepsilon }_{ 0 } } ={ 10 }^{ -4 }N/C

The answer is of the form: A . 1 0 B A.10^{-B} , where A and B are positive integers.

Find A+B.


The answer is 78.

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