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Nuclei

JEE Main 2024 (Online) 9th April Morning ShiftMCQEasy📈 Topic in 26% papers+4−1
Ques. 1JEE Main 2024, 9 April (Morning Shift)

The energy equivalent of 1 g of substance is :

  1. 5.6 1026 MeV
  2. 5.6 1012 MeV
  3. 5.6 eV
  4. 11.2 1024 MeV

Answer

(1) 5.6 1026 MeV

Solution

By Einstein's mass–energy relation,

E = mc2 = (1 10-3)(3 108)2 = 9 1013 J

Since 1 MeV = 1.6 10-13 J,

E = 9 10131.6 10-13 MeV 5.6 1026 MeV

Answer: (1)

Keep practising — Nuclei

Ques. 2JEE Main 2024, 9 April (Morning Shift)

A star has 100\% helium composition. It starts to convert three 4He into one 12C via triple alpha process as 4He + 4He + 4He 12C + Q. The mass of the star is 2.0 1032 kg and it generates energy at the rate of 5.808 1030 W. The rate of converting these 4He to 12C is n 1042 s-1, where n is . [Take, mass of 4He = 4.0026 u, mass of 12C = 12 u]

Ques. 3JEE Main 2024, 9 April (Evening Shift)

The energy released in the fusion of 2 kg of hydrogen deep in the sun is EH and the energy released in the fission of 2 kg of 235U is EU. The ratio EHEU is approximately: (Consider the fusion reaction as 4 11H + 2e- 24He + 2 + 6 + 26.7 MeV, energy released in the fission reaction of 235U is 200 MeV per fission nucleus and NA = 6.023 1023)

  1. 7.62
  2. 25.6
  3. 9.13
  4. 15.04
Ques. 4JEE Main 2024, 8 April (Morning Shift)

Binding energy of a certain nucleus is 18 108 J. How much is the difference between total mass of all the nucleons and nuclear mass of the given nucleus:

  1. 20 g
  2. 2 g
  3. 10 g
  4. 0.2 g
Ques. 5JEE Main 2024, 8 April (Evening Shift)

If M0 is the mass of isotope 125B, Mp and Mn are the masses of proton and neutron, then nuclear binding energy of isotope is:

  1. (5Mp + 7Mn - M0)C2
  2. (M0 - 5Mp - 7Mn)C2
  3. (M0 - 5Mp)C2
  4. (M0 - 12Mn)C2
Ques. 6JEE Main 2024, 8 April (Evening Shift)

In a hypothetical fission reaction 92X236 56Y141 + 36Z92 + 3R The identity of emitted particles (R) is :

  1. Proton
  2. Neutron
  3. Electron
  4. -radiations
Ques. 7JEE Main 2024, 5 April (Morning Shift)

If three helium nuclei combine to form a carbon nucleus then the energy released in this reaction is 10-2 MeV. (Given 1 u = 931 MeV/c2, atomic mass of helium = 4.002603 u)

Ques. 8JEE Main 2024, 4 April (Morning Shift)

Which of the following nuclear fragments corresponding to nuclear fission between neutron (01n ) and uranium isotope (92235U ) is correct :

  1. 56140Xe+3894Sr+301n
  2. 51153Sb+4199Nb+301n
  3. 56144Ba+3689Kr+401n
  4. 56144Ba+3689Kr+301n
Ques. 9JEE Main 2024, 4 April (Evening Shift)

The disintegration energy Q for the nuclear fission of 235U 140Ce + 94Zr + n is MeV. Given atomic masses of 235U : 235.0439 u; 140Ce : 139.9054 u, 94Zr : 93.9063 u; n : 1.0086 u, Value of c2 = 931 MeV/u.

Ques. 10JEE Main 2024, 1 February (Morning Shift)

The radius of a nucleus of mass number 64 is 4.8 fermi. Then the mass number of another nucleus having radius of 4 fermi is 1000x, where x is .

Ques. 11JEE Main 2024, 1 February (Evening Shift)

From the statements given below : Choose the correct answer from the options given below :

  1. (B), (C), (D), (E) only
  2. (A), (C), (D), (E) only
  3. (A), (B), (C), (E) only
  4. (A), (B), (C), (D) only

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