The radius of the two nucleus are in the ratio of 1:2, then the ratio of their mass numbers is:

  1. 1 : 8
  2. 8 : 1
  3. 1 : 4
  4. 4 : 1

Answer (Detailed Solution Below)

Option 1 : 1 : 8
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Detailed Solution

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CONCEPT:

Atom: 

  • An atom is composed of three particles, namely, neutrons, protons, and electrons.
    • Hydrogen does not have neutrons.
    • Every atom has a nucleus that bounds one or more electrons around it. The nucleus is composed of protons and neutrons.
    • The protons are positively charged, electrons are negatively charged and neutrons are neutral.

Atomic mass: 

  • It is the mass of an atom in a chemical element. It is roughly equivalent to total neutrons and protons present in the atom.
  • It is expressed in atomic mass units (denoted by u). 1amu is equal to exactly one-twelfth of the mass of 1 atom of C-12.


CALCULATION:

Given 

We know that the radius of the nucleus is given as,

⇒ R = R0A1/3     ----(1)

Where, A = mass number, R = radius of the nucleus, and R= 1.2×10-15 m

So,

     ----(2)

     ----(3)

By dividing equation 2 and equation 3,

  • Hence, option 1 is correct.

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