Question

Calculate the ratio between the radius of the radium nucleus and the radius of the oxygen nucleus. The atomic mass of the radium nucleus is ARa = 226 and the atomic mass of the oxygen nucleus is AO = 16. a) 1.5 b) 3.0 c) 2.4 d) 6.0

Answer 1

refer to the picture...........

Answer 2

Given: The atomic mass of the radium nucleus is 226 and the atomic mass of the oxygen nucleus is 16.

To find: Ratio between the radius of the radium nucleus and the radius of the oxygen nucleus

Explanation: The radius of a nucleus is given by the formula:

$r(a)^{ \frac{1}{3} }$

where r is a constant whose value is 10^-15 m and a is the atomic mass of the nucleus.

Radius of the radium nucleus:

${10}^{ - 15} ({226})^{ \frac{1}{3} }$

Radius of the oxygen nucleus:

${10}^{ - 15} ({16})^{ \frac{1}{3} }$

Taking ratio of the radius:

$\frac{ {10}^{ - 15} ({226})^{ \frac{1}{3} } }{ {10}^{ - 15} ({16})^{ \frac{1}{3} } }$

= 2.4

Therefore, the ratio of the radius of the two nucleus is option (c) 2.4