Half life of a radioactive material is 2 days. If the original material is 1 kg, then how much of it will be left after 6 days ?a)125 gmsb)250 gmsc)500 gmsd)750 gmsCorrect answer is option 'A'. Can you explain this answer?

Question

Answer

Half-life is the time taken for half of the radioactive material to decay. In this case, the half-life of the material is 2 days, which means that after 2 days, half of the material will decay and half will remain.

To find out how much material will be left after 6 days, we can divide the total time (6 days) by the half-life (2 days) to determine the number of half-life periods that have passed.

Let's break down the calculation step-by-step:

Step 1: Determine the number of half-life periods that have passed
6 days ÷ 2 days/half-life = 3 half-life periods

Step 2: Calculate the remaining material after each half-life period
After the first half-life: 1 kg ÷ 2 = 0.5 kg
After the second half-life: 0.5 kg ÷ 2 = 0.25 kg
After the third half-life: 0.25 kg ÷ 2 = 0.125 kg

Therefore, after 6 days, there will be 0.125 kg (or 125 gms) of the radioactive material left.

So, the correct answer is option A) 125 gms.

Answer

First half life.;
1000g->500g.
2nd half life.;
500g->250g.
3rd half life .;
250g->125g

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