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What is the Q-value of the reaction? "...

What is the Q-value of the reaction?
`""^(1)H+""^(7)Lito ""^(4)He+""^(4)He`
The atomic masses of `""^(1)H,""^(4)Heand ""^(7)Li` 1.007825u, 4.0026034u and 7.01600u, respectively.

A

17.35 MeV

B

18.06 MeV

C

177.35 MeV

D

170.35 MeV

Text Solution

Verified by Experts

The correct Answer is:
D
We know that, radius of nucleus `r=r_(0)(A)^(1//3)`. Where, r=increases with increasing A=mass number. So, `r_(A) lt r_(B)` as mass number of A is smaller `E_(bn)` decreases with increasing A for `A gt 56^(56)Fe` has highest `E_(bn)` value. So, `E_(bn)` for A=64 is larger as compared to `E_(bn)` for nucleus with A=125.
`E_(bnA) gt E_(bnB)`
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MHTCET PREVIOUS YEAR PAPERS AND PRACTICE PAPERS-ATOMS, MOLECULES AND NUCLEI -Exercise 1 (TOPICAL PROBLEMS)
  1. The nuclear force

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  2. If M(A,Z), M(p)and M(n) denote the masses of the nucleus .(Z)X^(A), pr...

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  3. What is the Q-value of the reaction? ""^(1)H+""^(7)Lito ""^(4)He+""^...

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  4. Binding energy per nucleon relation with mass number

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  5. The curve of blinding energy per nucleon as a function of atomic mass ...

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  6. Atomic mass of ""6C^(13) is 1300335 amu and its mass number is 13.0 If...

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  7. Let N(beta) be the number of beta particles emitted by 1 gram of Na^(2...

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  8. A radioactive decay can form an isotope of the original nucleus with t...

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  9. The half-life of a radioactive substance is 20 min. the time taken bet...

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  10. A uranium nucleus ""(92)U^(238) emits and alpha-particle and a beta-pa...

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  11. ""(92)"U"^(235) undergoes successive disintegrations with the end prod...

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  12. A nucleus with Z =92 emits the following in a sequence: alpha,beta^(...

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  13. Half life of a radio-active substance is 20 minutes. The time between ...

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  14. The fraction of atoms of radioactive element that decays in 6 days is ...

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  15. A common example of beta^(-) decay is ""(15)P^(32) to ""(16)S^(32)+x+y...

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

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

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

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

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

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