Question

Highly energetic electrons are bombarded on a target of an element containing 30 neutrons. The ratio of radius of nucleus to that of Helium nucleus is (14)³. The atomic number of nucleus will be

• A. 25
• B. 26
• C. 27
• D. 30

Hint:

The radius of a nucleus is proportional to the cube root of the atomic number.

Answer 1

The Correct Option is C

The relationship between the radius of the nucleus and the atomic number \( Z \) is given by \( r \propto Z^{1/3} \). Given the ratio of radii, we can solve for the atomic number of the nucleus.

Step 2: Conclusion.
The atomic number of the nucleus is 27, corresponding to option (c).