11.9 LAB: Radioactive decay Complete the functions in the template to implement the formulas shown below. The formula to calculate how much of a radioactive isotope with half-life T will remain after time t is: Nt=N0e−0.693tT The formula can be rearranged to calculate the half-life of an isotope given how much remains after decay: T=−0.693tlnNtN0 The notation used in the formulas is: e = Euler's number accessible as math.e. t = the length of time (in years) during which an isotope decays T = the half-life (in years) of the isotope N0 = the initial amount of the isotope Nt the amount of the isotope remaining after time t Then, complete the main program to: Read a choice Read 3 numbers from one line: Choice N: N0, t, and T Choice T: N0, Nt, and t Call compute_Nt() if the choice is N, compute_T if the choice is T Output the result with four digits after the decimal point. code I have so far: import math def compute_Nt(N0, t, T): return N0 * (math.exp(-0.693t / T)) def compute_T(N0, Nt, t): return -0.693 t / math.log(Nt/N0) if name == "main": choice = input() if choice == 'N' : N0, t, T = map(float, input().split(" ")) Nt = compute_Nt(N0, t, T) print(f'Nt ={Nt : .4f}' ) elif choice == 'T' : N0, Nt, t = map(float, input().split(" ")) T = compute_T(N0, Nt, t) print(f'T ={T: .4f}' ) else: print("Invalid choice.") error I am getting: 1: Unit testkeyboard_arrow_up 0 / 2 Test compute_Nt(100, 50, 28.94). Should return remaining quantity = 30.2007 (rounded to 4 sig. fig.) 2: Unit testkeyboard_arrow_up 0 / 2 Test compute_T(100, 30.2007, 50). Should return half-life = 28.94 (rounded to 2 sig. fig.)

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Problem 1PE

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11.9 LAB: Radioactive decay

Complete the functions in the template to implement the formulas shown below.

The formula to calculate how much of a radioactive isotope with half-life T will remain after time t is:

Nt=N0e−0.693tT

The formula can be rearranged to calculate the half-life of an isotope given how much remains after decay:

T=−0.693tlnNtN0

The notation used in the formulas is:

e = Euler's number accessible as math.e.
t = the length of time (in years) during which an isotope decays
T = the half-life (in years) of the isotope
N₀ = the initial amount of the isotope
N_t the amount of the isotope remaining after time t

Then, complete the main program to:

Read a choice
Read 3 numbers from one line:
- Choice N: N0, t, and T
- Choice T: N0, Nt, and t
Call compute_Nt() if the choice is N, compute_T if the choice is T
Output the result with four digits after the decimal point.

code I have so far:

import math

def compute_Nt(N0, t, T):

return N0 * (math.exp(-0.693*t / T))

def compute_T(N0, Nt, t):

return -0.693 * t / math.log(Nt/N0)

if __name__ == "__main__":

choice = input()

if choice == 'N' :

N0, t, T = map(float, input().split(" "))

Nt = compute_Nt(N0, t, T)

print(f'Nt ={Nt : .4f}' )

elif choice == 'T' :

N0, Nt, t = map(float, input().split(" "))

T = compute_T(N0, Nt, t)

print(f'T ={T: .4f}' )

else:

print("Invalid choice.")

error I am getting:

1: Unit testkeyboard_arrow_up

0 / 2

Test compute_Nt(100, 50, 28.94). Should return remaining quantity = 30.2007 (rounded to 4 sig. fig.)

2: Unit testkeyboard_arrow_up

0 / 2

Test compute_T(100, 30.2007, 50). Should return half-life = 28.94 (rounded to 2 sig. fig.)

learn.zybooks.com/zybook/SADDLEBACKCIMP8AVuSummer2022/chapter/11/section/9
My library > CIMP 8A: Programming with Python home >
11.9: LAB: Radioactive decay
Latest submission - 4:35 PM PDT on 07/30/22
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Only show failing tests
1: Unit test ^
2: Unit test ^
Test compute_Nt(100, 50, 28.94). Should return remaining quantity = 30.2007 (rounded to 4 sig. fig.)
Test compute_T(100, 30.2007, 50). Should return half-life = 28.94 (rounded to 2 sig. fig.)
3: Compare output
Input
Your output
4: Compare output
Input
Your output
N
100 50 28.94
Nt = 30.2007
T
100 30.2007 50
T = 28.9400
h
EzyBooks catalog ? Help/FAQ Siyuan Liu
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