Problem 9: In one of the classic nuclear physics experiments performed by Ernest Rutherford at the beginning of the 20th century, alpha particles (helium nuclei) were shot at gold nuclei and their paths were substantially affected by the Coulomb repulsion from the nuclei. If the energy of the (doubly charged) alpha nucleus was 5.2 MeV, how close to the gold nucleus (79 protons) could it come before being deflected?

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Problem 9: In one of the classic nuclear physics experiments performed by Ernest Rutherford at the beginning of the 20th century, alpha
particles (helium nuclei) were shot at gold nuclei and their paths were substantially affected by the Coulomb repulsion from the nuclei.
If the energy of the (doubly charged) alpha nucleus was 5.2 MeV, how close to the gold nucleus (79 protons) could it come before being deflected?
Transcribed Image Text:Problem 9: In one of the classic nuclear physics experiments performed by Ernest Rutherford at the beginning of the 20th century, alpha particles (helium nuclei) were shot at gold nuclei and their paths were substantially affected by the Coulomb repulsion from the nuclei. If the energy of the (doubly charged) alpha nucleus was 5.2 MeV, how close to the gold nucleus (79 protons) could it come before being deflected?
Expert Solution
Step 1

Given data:

The energy of the alpha nucleus is,

K = 5.2 MeV

Since alpha particles are doubly charged,

Charge on the alpha particle is,

Qα =2×1.6×10-19 C 

Charge on the gold nucleus is,

QAu= 79×1.6×10-19 C

Formula used:

The electric potential energy of the two charge system is,

U=14πε0Q1Q2r

Where,

Q1 and Q2- Charges

r- Separation of charges

 

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