The radius of germanium (Ge) nuclide is measured to be twice the radius of _4^9 Be . The number of nucleons in Ge are:

Correct answer: A. 72 Nuclear radii R=R_0 A^ 1 / 3 Where R_0=1.2 fm or R (A)^ 1 / 3 R_ H_e R_ G_e = (a)^ (1)/(3) (A)^ (1)/(3) or R_ H_e 2 R_ B^ = (q)^ (1)/(3) (λ)^ (1)/(3) Given R_ G e =2 R_ B C (A)^ 1 / 3 =2 ×(9)^ 1 / 3 or A=23 × 9=8 × 9=72 Number of nucleus is Ge is 72

NEET 2006

Exam: NEET
Year: 2006
Subject: Physics
Chapter: Nuclear Physics

NEET 2006 · Physics · Nuclear Physics

The radius of germanium (Ge) nuclide is measured to be twice the...

The radius of germanium (Ge) nuclide is measured to be twice the radius of

{ }_4^9 \mathrm{Be}

. The number of nucleons in Ge are:

Options

Correct answer

A. 72

Step-by-step solution

Nuclear radii

R=R_0 A^{1 / 3}

Where

\quad R_0=1.2 \mathrm{fm}

\quad R \propto(A)^{1 / 3}

\therefore \quad \frac{R_{H_e}}{R_{G_e}}=\frac{(a)^{\frac{1}{3}}}{(A)^{\frac{1}{3}}}

\quad \frac{R_{H_e}}{2 R_{B^{\varepsilon}}}=\frac{(q)^{\frac{1}{3}}}{(\lambda)^{\frac{1}{3}}}

Given

\quad R_{G e}=2 R_{B C}

(A)^{1 / 3}=2 \times(9)^{1 / 3}

A=23 \times 9=8 \times 9=72

\therefore

Number of nucleus is

\mathrm{Ge}

is 72

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