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30 December, 12:16

If the diameter of an atom is 1 * 10-8 cm, what is the approximate diameter of its nucleus

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  1. 30 December, 12:40
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    Here we have to find the diameter of nucleus as the diameter of atom is given.

    Diameter of atom is 1 x 10⁻⁸ cm

    Radius of atom = diameter/2

    so, radius of atom = 1 x 10⁻⁸ cm/2 = 5 x 10⁻⁹ cm

    To find diameter of nucleus, first we have to find the radius of nucleus by using this formula,

    R = rA (¹/³) where R = radius of nucleus, r = radius of atom and A is a nucleon number, which is different for every atom

    so, R = (5x10 ⁻⁹) A (¹/³)

    here atom is not mentioned, so we don't know the value of A

    and Dimeter (D) = 2R, R = D/2

    D/2 = (5x10⁻⁹) A (¹/³)

    Diameter of nucleus (D) = 2 ((5x10⁻⁹) A (¹/³) )
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