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A human body requires 0.01m activity of radioactive substance after 24 hours. Half life of radioactive substance is 6hours. The injection of maximum activity of radioactive substance that can be injected is A) 0.08 B) 0.04 C) 0.16 D) 0.32?
Verified Answer
A human body requires 0.01m activity of radioactive substance after 24...
Half-life = 6 hr
Number of half-life (n) in 24 hr = 24 hr/6 hr 
n = 4
The activity after 4 half-life = 0.01
The initial activity of the sample can be calculated as :
Activity after 4 half-life = Initial activity * (1/2)n
0.01M = initial activity * (1/2)4
Initial activity = 0.01 M * 24
                       = 0.16 M
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Most Upvoted Answer
A human body requires 0.01m activity of radioactive substance after 24...
Given Information:


  • Required activity after 24 hours = 0.01 m

  • Half-life of the radioactive substance = 6 hours



Formula for Radioactive Decay:

The formula for radioactive decay is given by:

A = A₀ * (1/2)^(t/h)

Where:


  • A is the final activity

  • A₀ is the initial activity

  • t is the time elapsed

  • h is the half-life of the substance



Finding the Maximum Activity that can be Injected:

Let's assume the maximum activity that can be injected is x.

So, after 24 hours, the remaining activity should be equal to 0.01 m.

Using the formula for radioactive decay, we can write:

0.01 = x * (1/2)^(24/6)


Solving for x:

Let's solve the equation to find the value of x:

0.01 = x * (1/2)^4

0.01 = x * 1/16

0.01 * 16 = x

x = 0.16


Answer:

The maximum activity of the radioactive substance that can be injected is 0.16 m. Therefore, the correct option is C) 0.16.
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A human body requires 0.01m activity of radioactive substance after 24 hours. Half life of radioactive substance is 6hours. The injection of maximum activity of radioactive substance that can be injected is A) 0.08 B) 0.04 C) 0.16 D) 0.32?
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A human body requires 0.01m activity of radioactive substance after 24 hours. Half life of radioactive substance is 6hours. The injection of maximum activity of radioactive substance that can be injected is A) 0.08 B) 0.04 C) 0.16 D) 0.32? for NEET 2024 is part of NEET preparation. The Question and answers have been prepared according to the NEET exam syllabus. Information about A human body requires 0.01m activity of radioactive substance after 24 hours. Half life of radioactive substance is 6hours. The injection of maximum activity of radioactive substance that can be injected is A) 0.08 B) 0.04 C) 0.16 D) 0.32? covers all topics & solutions for NEET 2024 Exam. Find important definitions, questions, meanings, examples, exercises and tests below for A human body requires 0.01m activity of radioactive substance after 24 hours. Half life of radioactive substance is 6hours. The injection of maximum activity of radioactive substance that can be injected is A) 0.08 B) 0.04 C) 0.16 D) 0.32?.
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