A nucleus has mass number A₁ and volume V₁. Another nucleus has mass number A₂ and Volume V₂. If relation between mass number is A₂ = 4A₁, then (V₂)/(V₁) = __________. Numerical answer type. Work it out, then open the answer.

Answer: 4. V = 4/3π R₀³ A, so V ∝ A. (V₂)/(V₁) = (A₂)/(A₁) = 4 So the answer is 4.

A nucleus has mass number A₁ and volume V₁. Another nucleus has mass… | JEE Main 2024 (31 Jan, Shift 2)

Q11JEE Main 2024 · 31 JAN · SHIFT 2Easy

Nucleus: Composition, Size & Nuclear Force

A nucleus has mass number $A_1$ and volume $V_1$ . Another nucleus has mass number $A_2$ and Volume $V_2$ . If relation between mass number is $A_2 = 4A_1$ , then $\frac{V_2}{V_1} =$ __________.

Numerical answer type. Work it out, then open the answer.

Show answer and solution

Answer: 4

$V = \frac{4}{3}\pi R_0^3 A$ , so $V \propto A$ .
$\frac{V_2}{V_1} = \frac{A_2}{A_1} = 4$
So the answer is 4.

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