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Nuclei

JEE Main 2024 (Online) 9th April Evening ShiftMCQMedium📈 Topic in 5% papers+4−1
Ques. 1JEE 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

Answer

(1) 7.62

Solution

Fusion: 2 kg of H = 2000 mol, i.e. 2000NA nuclei; every 4 nuclei release 26.7 MeV.

EH = 2000NA4 26.7 MeV

Fission: 2 kg of 235U = 2000235 mol; each nucleus releases 200 MeV.

EU = 2000NA235 200 MeV

EHEU = 26.7 2354 200 7.84, so the closest option is 7.62.

Answer: (1)

Keep practising — Nuclei

Ques. 2JEE 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. 3JEE 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. 4JEE 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. 5JEE 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. 6JEE 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. 7JEE 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. 8JEE 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. 9JEE 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
Ques. 10JEE Main 2024, 31 January (Morning Shift)

The mass defect in a particular reaction is 0.4 g. The amount of energy liberated is n 107 kWh, where n= . (speed of light =3 108 m/s)

Ques. 11JEE Main 2024, 31 January (Evening Shift)

The mass number of nucleus having radius equal to half of the radius of nucleus with mass number 192 is :

  1. 32
  2. 24
  3. 20
  4. 40

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