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Standard XII
Physics
NCERT
Question

From the relation R = R0A13 , where R0 is a constant and A is the mass number of a nucleus, show that the nuclear matter density is nearly constant (i.e. independent of A).

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Solution
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Density of nuclear matter = Mass of nucleus/Volume of nucleus
=A43πR3
=A43π(R0A1/3)3=143πR30=constant

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