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The mass density of a nucleus varies with mass number A as (a) A 2 (b) A (c) Constant (d) 1/A



The mass density of a nucleus varies with mass number A as    


        (a)    A2


        (b)    A


        (c)    Constant


        (d)    1/A


 


Grade:9

2 Answers

Amit Saxena
35 Points
9 years ago

(c)

The nuclear radius r varies with mass number A according to the relation

r prop.  A1/3 or A prop. r3

Rishi Sharma
askIITians Faculty 646 Points
3 years ago
Dear Students
Please find below the solution to your problem.

Atomic mass = density*volume of atom.
So, density of nucleus is in depend of mass number
d= Mass no. / (4/3)​πr^3​
= A/(4/3)​π×[1.3×10^−13×A^(1/3)]^3​
= constant
= A^0

Thanks and Regards


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