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Assertion: Half-life of a certain radioa...

Assertion: Half-life of a certain radioactive element is `100` days. After `200` days, fraction left undecayed will be `25%`.
Reason: `C_(t)/C_(0) = ((1)/(2))^(n)`, where symbols have standard meaning.

A

If both assertion and reason are true and the reason is the correct explanation of the assertion.

B

If both assertion and reason are true but the reason is not the correct explanation of the assertion.

C

If assertion is true but reason is false.

D

If assertion is false but reason is true.

Text Solution

Verified by Experts

The correct Answer is:
A
Number of half-lives `= n = (t)/(T) = (200)/(100) = 2`
`(N)/(N_(0)) = ((1)/(2))^(n)`
`((1)/(2))^(2) = (1)/(4) = (1)/(4) xx 100%`
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Knowledge Check

  • Statement-1: Half life of a certain radioactive element is 100 days . After 200 days , fraction left undecayed will be 25% . Statement-2: (N)/(N_(0)=((1)/(2))^(n) , where symbols have standard meaning.

    A
    Statement-1 is True, statement-2 is True, Statement-2 is a correct explantion for Statement-1.
    B
    Statement-1 is True, Statement-2 is True, Statement-2 is NOT a correct explanation for Statement-1
    C
    Statement-1 is True, Statement-2 is False.
    D
    Statement-1 is False, Statement-2 is True.

  • The half-life period of radioactive element is 140 days. After 560 days, 1 g of element will reduce to

    A
    `1/2`g
    B
    `1/4`g
    C
    `1/8`g
    D
    `1/16`g

  • The half-life period of a radioactive element is 140 day. After 560 days, 1 g of the element will reduce to

    A
    `1//8 g`
    B
    `1//16 g`
    C
    `1//4 g`
    D
    `1//2 g`

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