One mole of alpha particles are trapped inside a closed box find the number of electric field lines emanating from the alpha particles

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Solution

Dear Student,
Charge on one mole of protons
= 1.6x10^-19 x 6.023 x 10^23 = 96500 coulomb(1 Faraday)
We know that one proton has q charge then charge on one alpha particle will be 2q
so charge of one mole alpha particle enclosed in the box , Q_in = 2 x 96500 = 193000 coulombs (2 Faraday)
Now,
Number of electric field emanating from the closed box , $ϕ = \frac{Q_{i n}}{ε_{0}}$
= 96500/8.8 * 10^-12
=1.0966 * 10^-8 N m² C⁻¹
Regards

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