The variation of decay rate of two radioactive samples A and B with time is shown in figure.

Which of the following statements are true?

(a) Decay constant of A is greater thanB, hence A is always decays faster than B

(b) Decay constant of B is greater than that of A but its decay rate is smaller than that of A

(c) Decay constant of A is greater than that og B but it is does not always faster than B

(d) Decay constant of B is smaller than that of A but still decay rate becomes equal to that of A at later instant

0 1 View | Posted 4 months ago
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  • A

    Answered by

    alok kumar singh | Contributor-Level 10

    4 months ago

    This is a Multiple Choice Questions as classified in NCERT Exemplar

    Answer- (c, d)

    Explanation- in given figure the slope of curve A is greater than slope B. so decay in A is faster than B . also wavelength of A is grater than B.

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A
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r = R 0 ( 1 9 2 ) 1 3

r 2 = R 0 ( m ) 1 3

m = 1 9 2 8 = 2 4

A
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Q = [4 *4.0026 – 15.9994] *931.5 MeV

Q = 10.2 MeV

A
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A = A 0 e λ t 1     [Radio active decay law]

A 5 = A 0 e λ ( t 2 t 1 )

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A
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f o r A , t 1 2 = 4 s e c  

= m A 0 e 0 . 6 9 3 4 × 1 6

m A = m A 0 e 4 × 0 . 6 9 3    -(1)

for B,

for B,  t 1 2 = 8 s e c  

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The reaction is X²? → Y¹²? + Z¹²?
Binding energies per nucleon are: X=7.6 MeV, Y=8.5 MeV, Z=8.5 MeV.
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