Home
Class 12
PHYSICS
making use of the tables of atomic masse...

making use of the tables of atomic masses, find the velocity with which the products of the reaction `B^(10)`(n,alpha)`Li^(7)` come apart, the reaction proceeds via interaction of very slow neutons with stationary boron nuclei.

Text Solution

Verified by Experts

The rection is `B^(10)(n,alpha)Li^(7)`. Then energy of the reaction is
`Q=(Delta_(B)^(10)+Delta_(n)-Delta_(alpha)-Delta_(Li)^(7))c^(2)`
`=(0.01297+0.00867-.000260-0.01601)am uxxc^(2)`
`=2.79MeV`
Since the incident neutron is very slow and `B^(10)` is stationary, the final total momentum must also be zero. So the reaction products must emerge in opposite directions. If their speeds are, respectively `v_(alpha)`, and `v_(Li)`
then `4v_(alpha)= 7v_(Li)`
and `(1)/(2)(4v_(alpha)^(2)+7v_(Li)^(2))xx1.672xx10^(-24)=2.79xx1.602xx10^(-6)`
So `(1)/(2)xx4v_(alpha)^(2)(1+(4)/(7))=2.70xx10^(18)cm^(2)//s^(2)`
or `v_(alpha)= 9.27xx10^(6)m//s`
Then `v_(Li)=5.3xx10^(6)m//s`
Promotional Banner

Topper's Solved these Questions

  • ATOMIC AND NUCLEAR PHYSICS

    IE IRODOV, LA SENA & SS KROTOV|Exercise Elementary Particles|20 Videos

  • ATOMIC AND NUCLEAR PHYSICS

    IE IRODOV, LA SENA & SS KROTOV|Exercise Radioactivity|35 Videos

  • DIRECT CURRENT

    IE IRODOV, LA SENA & SS KROTOV|Exercise All Questions|15 Videos

Similar Questions

Explore conceptually related problems

Making use of the tables of atomic masses, find: (a) the mean binding energy per one nucleon in O^(16) nucleus (b) The binding energy of neutron and an alpha-particle in a B^(11) nuclues.

Making use of the table of atomic masses given above find: (a) the mean binding energy per nucleon in ._(7)^(14)N (b) the binding energy of an alpha-particle in ._(8)^(16)O .

Making use of the tables of atomic masses, determine the energies of the following reaction: (a) Li^(7)(p,n)Be^(7) , (b) Be^(9)(n,gamma)Be^(10) , (c ) Li^(7)(alpha,n)B^(10) , (d) O^(16)(d,alpha)N^(14) .

A small bottle contains powered beryllium Be & gaseous radon which is used as a source of alpha -particles. Netrons are produced when alpha- particles of the radon react with beryllium. The yield of this reaction is (1//4000) i.e. only one alpha -particle out of induced the reaction. Find the amount of radon (Rn^(222)) originally introduced into the source, if it prouduces 1.2 xx 10^(6) neutrons per second after 7.6 days. [ T_(1//2) of R_(n) = 3.8 days]

The rate of a reaction, which may also be called its velocity or speed, can be defined with relation to the concentration of any of the reacting substances, or to that of any product of the reaction. If the species chosen is a reactant which has a concentration c at time t the rate is - dc/dt, while the rate with reference to a product having a concentration x at time t is dx/dt. Any concentration units may be used for expressing the rate, thus, if moles per liter are employed for concentration and seconds for the time, the units for the rate are moles "liter"^(-1) sec^(-1) . For gas reactions pressure units are sometimes used in place of concentrations, so that legitimate units for the rate would be (mm. Hg) sec^(-1) and atm. sec^(-1) The order of a reaction concerns the dependence of the rate upon the concentrations of reacting substances, thus, if the rate is found experimentally to be proportional to the alpha^(th) power of the concentration of one of the reactants A, to the beta^(th) power of the concentration of a second reactant B, and so forth, via., rate kC_(A)^(alpha) C_(B)^(beta)" " (1) the over-all order of the reaction is simply n = alpha +beta + ---------(2) Such a reaction is said to be of the alpha^(th) order with respect to the substance A, the beta^(th) order with respect to B and so on... (Laidler, K. J., & Glasstone, S. (1948). Rate, order and molecularity in chemical kinetics. Journal of Chemical Education, 25(7), 383.) In the following questions, a statement of assertion followed by a statement of reason is given. Choose the correct answer out of the following choices on the basis of the above passage. Assertion: For a reaction: P +2Q to Products, Rate =k [P]^(1//2)[Q]^(1) so the order of reaction is 1.5 Reason: Order of reaction is the sum of stoichiometric coefficients of the reactants.

The rate of a reaction, which may also be called its velocity or speed, can be defined with relation to the concentration of any of the reacting substances, or to that of any product of the reaction. If the species chosen is a reactant which has a concentration c at time t the rate is - dc/dt, while the rate with reference to a product having a concentration x at time t is dx/dt. Any concentration units may be used for expressing the rate, thus, if moles per liter are employed for concentration and seconds for the time, the units for the rate are moles "liter"^(-1) sec^(-1) . For gas reactions pressure units are sometimes used in place of concentrations, so that legitimate units for the rate would be (mm. Hg) sec^(-1) and atm. sec^(-1) The order of a reaction concerns the dependence of the rate upon the concentrations of reacting substances, thus, if the rate is found experimentally to be proportional to the alpha^(th) power of the concentration of one of the reactants A, to the beta^(th) power of the concentration of a second reactant B, and so forth, via., rate kC_(A)^(alpha) C_(B)^(beta)" " (1) the over-all order of the reaction is simply n = alpha +beta + ---------(2) Such a reaction is said to be of the alpha^(th) order with respect to the substance A, the beta^(th) order with respect to B and so on... (Laidler, K. J., & Glasstone, S. (1948). Rate, order and molecularity in chemical kinetics. Journal of Chemical Education, 25(7), 383.) In the following questions, a statement of assertion followed by a statement of reason is given. Choose the correct answer out of the following choices on the basis of the above passage. Assertion: Rate of reaction is a measure of change in concentration of reactant with respect to time. Reason: Rate of reaction is a measure of change in concentration of product with respect to time.

The rate of a reaction, which may also be called its velocity or speed, can be defined with relation to the concentration of any of the reacting substances, or to that of any product of the reaction. If the species chosen is a reactant which has a concentration c at time t the rate is - dc/dt, while the rate with reference to a product having a concentration x at time t is dx/dt. Any concentration units may be used for expressing the rate, thus, if moles per liter are employed for concentration and seconds for the time, the units for the rate are moles "liter"^(-1) sec^(-1) . For gas reactions pressure units are sometimes used in place of concentrations, so that legitimate units for the rate would be (mm. Hg) sec^(-1) and atm. sec^(-1) The order of a reaction concerns the dependence of the rate upon the concentrations of reacting substances, thus, if the rate is found experimentally to be proportional to the alpha^(th) power of the concentration of one of the reactants A, to the beta^(th) power of the concentration of a second reactant B, and so forth, via., rate kC_(A)^(alpha) C_(B)^(beta)" " (1) the over-all order of the reaction is simply n = alpha +beta + ---------(2) Such a reaction is said to be of the alpha^(th) order with respect to the substance A, the beta^(th) order with respect to B and so on... (Laidler, K. J., & Glasstone, S. (1948). Rate, order and molecularity in chemical kinetics. Journal of Chemical Education, 25(7), 383.) In the following questions, a statement of assertion followed by a statement of reason is given. Choose the correct answer out of the following choices on the basis of the above passage. Assertion: Reactions can occur at different speeds. Reason: Rate of reaction is also called speed of reaction.

The rate of a reaction, which may also be called its velocity or speed, can be defined with relation to the concentration of any of the reacting substances, or to that of any product of the reaction. If the species chosen is a reactant which has a concentration c at time t the rate is - dc/dt, while the rate with reference to a product having a concentration x at time t is dx/dt. Any concentration units may be used for expressing the rate, thus, if moles per liter are employed for concentration and seconds for the time, the units for the rate are moles "liter"^(-1) sec^(-1) . For gas reactions pressure units are sometimes used in place of concentrations, so that legitimate units for the rate would be (mm. Hg) sec^(-1) and atm. sec^(-1) The order of a reaction concerns the dependence of the rate upon the concentrations of reacting substances, thus, if the rate is found experimentally to be proportional to the alpha^(th) power of the concentration of one of the reactants A, to the beta^(th) power of the concentration of a second reactant B, and so forth, via., rate kC_(A)^(alpha) C_(B)^(beta)" " (1) the over-all order of the reaction is simply n = alpha +beta + ---------(2) Such a reaction is said to be of the alpha^(th) order with respect to the substance A, the beta^(th) order with respect to B and so on... (Laidler, K. J., & Glasstone, S. (1948). Rate, order and molecularity in chemical kinetics. Journal of Chemical Education, 25(7), 383.) In the following questions, a statement of assertion followed by a statement of reason is given. Choose the correct answer out of the following choices on the basis of the above passage. Assertion: The unit of k is independent of order of reaction. Reason: The unit of k is moles L^(-1)s^(-1) .

IE IRODOV, LA SENA & SS KROTOV-ATOMIC AND NUCLEAR PHYSICS-Nuclear Reaction
  1. Find the enrgy of the reaction N^(14)(alpha,p)O^(17) if the kinetic en...

    Text Solution

    |

  2. Making use of the tables of atomic masses, determine the energies of t...

    Text Solution

    |

  3. making use of the tables of atomic masses, find the velocity with whic...

    Text Solution

    |

  4. Protons srtiking a stationary lithium target, activate a reaction Li^(...

    Text Solution

    |

  5. An alpha particles kinetic energy T= 5.3 MeV initiates a nuclear react...

    Text Solution

    |

  6. Proton with kinetic energy T=1.0MeV striking a lithium target induce a...

    Text Solution

    |

  7. A particle of mass m strikes a stationary nucleus of mass M and activa...

    Text Solution

    |

  8. What kinetic energy must a proton possess to split a deuteron H^(2) wh...

    Text Solution

    |

  9. The irradiation of lithium and beryllium targets by a monoergic stram ...

    Text Solution

    |

  10. To activate the reaction(n,alpha) with stationary B^(11) nuclei, neutr...

    Text Solution

    |

  11. Calculate the threshold kinetic energies of protons required to activa...

    Text Solution

    |

  12. Using the tabular values of atomic masses, find the threshold kinetic ...

    Text Solution

    |

  13. A neutron with kinetic energy T= 10MeV activates a nuclear reaction C^...

    Text Solution

    |

  14. How much in per cent, does the threshold energy of gamma quantum excee...

    Text Solution

    |

  15. A proton with a kinetic energy T- 1.5MeV us captured by a deuteron H^(...

    Text Solution

    |

  16. The yeild of the nuclear reaction C^(13)(d,n)N^(14) has maximum magnit...

    Text Solution

    |

  17. A narrow beam of thermal neutrons is attenuated eta= 360 time s after ...

    Text Solution

    |

  18. Detemine how many times the intensity of a narrow beam of thermal neut...

    Text Solution

    |

  19. A narrow beam of thermal neutrons passes through a plate of iron whose...

    Text Solution

    |

  20. The yeild of a nuclear reaction producing radionuclides may be describ...

    Text Solution

    |