A nucleus ZXA emits an α-particle with veloc

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 Multiple Choice QuestionsMultiple Choice Questions

101.

The radius of  29Cu64 nucleus in Fermi is (given R0 = 1.2 × 10-15 m)

  • 9.6

  • 4.8

  • 1.2

  • 7.7


102.

In a radioactive decay, an element ZXA emits four α-parti cles, three β-particles and eight gamma photons. The atomic number and mass number of the resulting final nucleus are

  • Z − 8, A − 13

  • Z − 11, A − 16

  • Z − 5, A − 13

  • Z − 5, A − 16


103.

A radioactive nucleus has specific binding energy E1. It emits an α-parti cle. The resulting nucleus has specific binding energy E2. Then

  • E2 = 0

  • E2 = E1

  • E2 < E1

  • E2 > E1


104.

Pick out the correct statements from the following

  1. Electron emission during β-decay is always accompanied by neutrino.
  2. Nuclear force is charge independent.
  3. Fusion is the chief source of stellar energy.

  • I, II are correct

  • I, III are correct

  • Only I is correct

  • II, III are correct


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105.

A nucleus ZXA emits an α-particle with velocity v. The recoil speed of the daughter nucleus is

  • A - 44v

  • 4vA - 4

  • v

  • v4


B.

4vA - 4

Let the recoil speed of daughter nucleus is v'.

By the law of conservation of momentum, we have

                   0 = A - 4 v' + 4vor  A - 4 v' = - 4vor               v' = 4vA - 4


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106.

A radioactive substance emits 100 beta particles in the first 2 s and 50 beta particles 1n the next 2 s. The mean life of the smaple is

  • 4 s

  • 2 s

  • 20.693 s

  • 2 × 0.693 s


107.

Which one of the following is not correct ?

  • In forward biased condition diode conducts

  • If the packing fraction is negative, the elelment is stable

  • B1nd1ng energy is the energy equivalent to mass defect

  • Radioactive element can undergo spontaneous fission


108.

A and B are the two radioactive elements. The mixtue of these elements show a total activity of 1200 disintergrations/mmute. The half-life of A is 1 day and that of B is 2 days. What will be the total activity after 4 days? Given, the initial number of atoms in A and B are equal

  • 200 dis/min

  • 250 dis/min

  • 500 dis/min

  • 150 dis/min


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109.

The binding energy/nucleon of deuteron (1H2) and the helium atom (2He4) are 1.1 MeV and 7 MeV respectively. If the two deuteron atoms fuse to form a single helium atom, then the energy released is

  • 26.9 MeV

  • 25.8 MeV

  • 23.6 MeV

  • 12.9 MeV


110.

The relation between half-life (T) and decay constant (λ) is

  • λT = 1

  • λT = 12

  • λT = loge2

  • λ = log 2T


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