In a nucleus of ₉₂U²³⁸ , find the number of protons and the number of neutrons.

3

(a)

Obtian the approximate velue of the radius of a nucleus ₉₂U²³⁸ , R₀ is 1.2 x 10^-15 m.

3

(a)

The number of \(\alpha \)-particles scattered at an angle of 90⁰ is 100 per minute. What will be the number of \(\alpha \)-particles, when it is scattered at an angle of 60⁰?

3

(a)

Two radioactive nuclei A and B, in a given sample disintegrates into a stable nucleus C. At time t = 0, number of A species are 4N₀ and that of B are N₀. Half-life of A (for conversion to C) is 1 min whereas, that of B is 2 min. Initially, there are no nuclei of C present in the sample. When number of nuclei of A and B are equal, then what would be the number of nuclei of C present in the sample?

3

(a)

₈₆R²²² is converted into ₈₄Po²¹⁸. Name the particle emitted in this case and write down the corresponding equation.

3

(a)