Question

The nucleus of an atom can be assumed to be spherical. The radius of the nucleus of mass number a is given by 1.251013a1/3cm radius of atom is one aa. If the mass number is 64, then the fraction of the atomic volume that is occupied by the nucleus is

Answer 1

it is given that radius of nucleus , R = 1.25 × 10-¹³ A⅓ , where A is mass number.

so, volume of nucleus , V = 4/3 πR³

= 4/3π[ 1.25 × 10-¹³ 64⅓]³

= 4/3 π[(1.25)³ × 10^-39 × 64 ] cm³

given radius of an atom is 1A°

so, volume of atom , v = 4/3πr³

= 4/3 π(10^-8cm)³

= 4/3π[10-²⁴ ] cm³

now, volume of nucleus/volume of atom = (1.25)³ × 10^-39 × 64/10^-24

= 125 × 10^-15

= 1.25 × 10-¹³

hence, answer is 1.25 × 10^-13

Answer 2

Answer:

1.25 × 10^-13

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