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Q.

The half-life of a radioactive substance is 10 days. This means that

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a

the substance completely disintegrates in 20 days

b

the substances completely disintegrates in 40 days

c

1/8 part of the mass of the substance will be left intact at the end of 40 days

d

7/8 part of the mass of the substance disintegrates in 30 days.

answer is D.

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Detailed Solution

The half life of radioactive substance is a characterized Constant. It measures the time it takes for a given amount of the substance to become reduced by half as a consequence of decay.

In 30 days (i.e. 3 half lives) the fraction of substance left is given by:

 123=18 of the initial substance. 

The fraction of substance decayed will be 1- 18 = 78of the initial substance.

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