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19 June, 10:55

1. In an atom, an electron and a proton are separated by a distance of 1 x 10-8m. a) Find the force on the electron. b) Assuming a circular orbit (which wouldn't happen, but we'll go with it). Find the velocity of the electron.

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  1. 19 June, 13:15
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    (a) 2.3 x 10^-12 N

    (b) 1.6 x 10^5 m/s

    Explanation:

    q1 = 1.6 x 10^-19 C

    q2 = 1.6 x 10^-19 C

    r = 1 x 10^-8 m

    (a) the electrostatic force is given by

    F = K q1 x q2 / r^2

    F = (9 x 10^9 x 1.6 x 10^-19 x 1.6 x 10^-19) / (1 x 10-^-8) ^2

    F = 2.3 x 10^-12 N

    The force is attractive in nature because the nature of charge on electron and proton s opposite to each other.

    (b) The electrostatic force is balanced by the centripetal force actig on the electron.

    F = mv^2 / r

    where, r be the radius of orbit and v be the velocity of electron in the orbit.

    2.3 x 10^-12 = (9.1 x 10^-31 x v^2) / (1 x 10^-8)

    v = 1.6 x 10^5 m/s
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