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Electric Potential Begin Date: 2/8/2016 12:00:00 AM Due Date: 2/15/2016 11:59:00

ID: 1593169 • Letter: E

Question

Electric Potential Begin Date: 2/8/2016 12:00:00 AM Due Date: 2/15/2016 11:59:00 PM End Date: 2/15/2016 11:59:00 PM (13%) Problem 6: In one of the classic nuclear physics experiments performed by Ernest Rutherford) at the beginning of the 20th century, an alpha particle was accelerated toward a gold nucleus, with its path being substantially deflected by the Coulomb A 100% Part (a) If the energy of the doubly charged alpha nucleus was 4.8 MeV, how close to the gold nucleus (79 protons) could it come before being deflected? Grade Summary Deductions 0% Potential 100% tano It 7 8 9 cos() Submissions Sin 4 5 6 Attempts remaining: 8 cotan asino acoso 3% per attempt atan acotano Sinho 1 2 3 detailed view cosh00 tanho cotanh EVO Degrees Radians BACKSPACE DEL CLEAR

Explanation / Answer

Here,

charge on gold nucleus , charge , q = 79 protons

charge on alpha particle , Q = 2 * e

Now , let the distance of closest approach is d

Using Conservation of energy

k * q * Q/d = energy

9*10^9 * 79 * 2 *(1.602 *10^-19)^2/d = 4.8 *10^6 * 1.602 *10^-19

solving for d

d = 4.75 *10^-14 m

the distance of closest approach is 4.75 *10^-14 m

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