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Q.

Some amount of radioactive substance (half life=10 days) is spread inside a room and consequently the level of radiation becomes 50 times the permissible level for normal occupancy of the room. The room be safe for occupation after

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a

20days

b

34.8 days

c

56.4 days

d

62.9 days

answer is C.

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Detailed Solution

 Since the initial activity is 50 times the activity for safe occupancy, therefore , R0 = 50R where R = λN since,

RNRR0=NN0=12n=12t/T    or12t/10=150

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