A radioactive element gets spilled over the floor of a room. Its half-life period is 30 days. If the initial activity is ten times the permissible value, after how many days will it be safe to enter the room ?A. `underline~`1000 daysB. `underline~`300 daysC. `underline~`10 daysD. `underline~`100 days

A radioactive element gets spilled over the floor of a room. Its half-

1.	A radioactive element gets spilled over the floor of a room. Its half-life period is 30 days. If the initial activity is ten times the permissible value, after how many days will it be safe to enter the room ?A. `underline~`1000 daysB. `underline~`300 daysC. `underline~`10 daysD. `underline~`100 days
Answer» Correct Answer - d It will be safe to enter in the room when activity gets reduces by 10 times, i.e, when N=`N""_(0)//10` `therefore N""_(0)/N=((1)/(2))""^(n)or1/10=(1/2)""^(n)` `or10=2""^(n)` log10=nlog2 `n=1/0.301=3.32 t=nlog2` `=3.32xx30=99.6 days`

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