The ratio of the nuclear radius, of an atom with mass number A and 2 4 He is 14 1 3 . What is the value of A ?

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Question: Answered & Verified by Expert

The ratio of the nuclear radius, of an atom with mass number

A

and

_{2}^{4} He

is

{(14)}^{\frac{1}{3}}

. What is the value of

A

?

PhysicsNuclear PhysicsJEE Main

Solution:

2997 Upvotes Verified Answer

The correct answer is: 56

From the relation

r \propto A^{1 / 3},

we have,

\frac{r_{2}}{r_{1}} = {(\frac{A_{2}}{A_{1}})}^{1 / 3}

or

{(\frac{A_{2}}{4})}^{1 / 3} = {(14)}^{1 / 3}

Therefore, A₂ = 56

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