Question

Compare the radii of two nuclei with mass number 1 and 27 respectively

Answer 1

Radius = r0 ( a constant ) × mass no rise to 1/3

R1/R2 = 1/27 rise to 1/3

R1 / R2 = 1/3

Answer 2

Given that,

Mass number of two nuclei are 1 and 27.

To find,

The ratio of the radii of two nucleus.

Solution,

The relation between the radii and the mass number of a nuclei is given by :

$\dfrac{R_1}{R_2}=(\dfrac{A_1}{A_2})^{1/3}$

Since, A₁ = 1 and A₂ = 27

So,

$\dfrac{R_1}{R_2}=(\dfrac{1}{27})^{1/3}\\\\\dfrac{R_1}{R_2}=\dfrac{1}{3}$

$R_2=3R_1$

So, the ratio of the radii of two nuclei is 1:3. The radius of second nucleus is 3 times of the radius of first nucleus.

Learn more,

Compare the radii of two nuclei with mass number 1 and 27 respectively

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