What is the approximate radius of a nucleus

Question

Assignment:

Please solve the following problems. You must show all work.

1) What is the approximate radius of (₆C¹²)?

2) What is the approximate radius of a (₂₆Fe⁵⁶) nucleus?

Approximately what is the value of A for a nucleus whose radius is 3.0 x 10^-15m?

3) Calculate the binding energy per nucleon for a (₉₂U²³⁸) nucleus.

4)In the reaction (₁H¹) + (₀n¹) → (₁H²) + Y, What is the energy of the Y ray emitted here?

5) Polonium-214 can decay by alpha decay.

a) The product of its decay has how many fewer protons the polonium-214?

b) Write the nuclear equation for this decay.

6) Write the nuclear equation for the decay of (₂₇Co⁶⁰)? If there are any alpha, beta or gamma particles created what is their maximum kinetic energy created?

7) Francium-223 (₈₇Fr²²³) has a half-life of 21.8 min.

a) How many nuclei are initial present in a 25.0 mg sample?

b) How many nuclei are present 1h and 49 min later?

8) What is the activity of a sample of (₆C¹⁴) that contains 8.9 x 10²² nuclei?