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50% of a radio active substance decays i...

`50%` of a radio active substance decays in `5` hours. The time required for the `87.5%` decays is

A

`10` hours

B

`15` hours

C

`12.5` hours

D

`17.5` hours

Text Solution

Verified by Experts

The correct Answer is:
B
`W=(W_(0))/(2^(n)) n=(t)/(t_((1)/(2))), t_(1//2)= 5 hrs`
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Knowledge Check

  • 50% of the amount of a radioactive substance decomposes in 5 years. The time required for the decomposition of 99.9% of the substance will be

    A
    `10` years
    B
    between `10` and `50` years
    C
    less than `10` years
    D
    between `49` and `50` years

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    A
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    B
    7 and 8 half lives
    C
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    D
    6 and 7 half lives

  • Choose the most appropriate option. If 10% of a radioactive substance decays in every 5 yr, then the percentage of the substance that will have decayed in 20 yrs, will be

    A
    `40%`
    B
    `50%`
    C
    `65.6%`
    D
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