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For the radioactive nuclei that undergo ...

For the radioactive nuclei that undergo either `alpha or beta` decay, which one of the following cannot occur?

A

Isobar of original nucleus is produced

B

Isotope of original nucleus is produced

C

Nuclei with higher atomic number that of the original nucleus is produced

D

Nuclei with lower atomic number than that of the original nucleus is produced

Text Solution

Verified by Experts

The correct Answer is:
C

By using, `N=N_(0)((1)/(2))^(1//t_(1//2))`
`implies t=(T_(1//2)log_(e)((N_(0))/(N)))/(log_(e)(2))`
`implies tproplog_(e)(N_(0))/(N) implies (t_(1))/(t_(2))=(log_(e)((N_(0))/(N))_(1))/(log_(e)((N_(0))/(N))_(2))`
Hence, `(6)/(10)=(log_(e)(8//1))/(log_(e)(N_(0)//N))`
`implies log_(e)(N_(0))/(N)=(10)/(6)log_(e)(8)=log_(e)32`
`implies (N_(0))/(N)=32`
So, fraction that decays`=1-(1)/(32)=(31)/(32)`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-ATOMS, MOLECULES AND NUCLEI -Exercise 1 (TOPICAL PROBLEMS)
  1. A common example of beta^(-) decay is ""(15)P^(32) to ""(16)S^(32)+x+y...

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  2. The activity of a radioactive sample is measures as N0 counts per minu...

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  3. For the radioactive nuclei that undergo either alpha or beta decay, wh...

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  4. The radioactivity of a sample is l(1) at a time t(1) and l(2) time t(2...

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  5. A radioactive nucleus of mass number A, initially at rest, emits an al...

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  6. In a radioactive disintegration, the ratio of initial number of atoms ...

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  7. The activity of a radioactive sample is measured as 9750 counts per mi...

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  8. A radioactive sample S(1) having the activity A(1) has twice the numbe...

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  9. A radioactive material decays by simulataneous emission of two particl...

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  10. Number of nuclei of a radioactive substance at time t=0 are 2000 and 1...

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  11. The ratio of molecular mass of two radioactive substances is 3//2 and ...

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  12. Number of nuclei of a radioactive substance at time t=0 are 2000 and 1...

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  13. A radioactive isotope has h half-life of 2 yr. how long will itt take ...

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  14. A sample of a radioactive element has a mass of 10 g at an instant t=0...

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  15. What is the respective number of alpha and beta particles emitted in t...

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  16. Two radioactive materials X(1) and X(2) have decay constants 5 lambda ...

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  17. Activity of a radioactive sample decreases to (1/3)rd of its original ...

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  18. Starting with a sample of pure .^(66)Cu, 7//8 of it decays into Zn in ...

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  19. Which of the following cannot be emitted by radioactive substances dur...

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  20. The ratio of half-life times of two elements A and B is (T(A))/(T(B))....

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