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Nuclei

JEE Main 2024 (Online) 1st February Morning ShiftNumericalEasy📈 Topic in 10% papers+4
Ques. 1JEE 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 .

Answer

27

Solution

R = R0A1/3 A2A1 = ( R2R1 )3

A2 = 64 ( 44.8 )3 = 64 ( 56 )3

= 64 125216 = 100027

x = 27

Answer: 27

Keep practising — Nuclei

Ques. 2JEE 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. 3JEE 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. 4JEE 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
Ques. 5JEE Main 2024, 31 January (Evening Shift)

A nucleus has mass number A1 and volume V1. Another nucleus has mass number A2 and Volume V2. If relation between mass number is A2=4A1, then V2V1= .

Ques. 6JEE Main 2024, 30 January (Evening Shift)

In a nuclear fission reaction of an isotope of mass M, three similar daughter nuclei of same mass are formed. The speed of a daughter nucleus in terms of mass defect M will be :

  1. c 3 MM
  2. Mc23
  3. c 2 MM
  4. 2c MM
Ques. 7JEE Main 2024, 29 January (Morning Shift)

The explosive in a Hydrogen bomb is a mixture of 1H2, 1H3 and 3Li6 in some condensed form. The chain reaction is given by 3Li6+0n1 2He4+1H3 1H2+1H3 2He4+0n1 During the explosion the energy released is approximately [Given ; M(Li)=6.01690 amu, M (1H2 )=2.01471 amu, M (2He4 )=4.00388 amu, and 1 amu=931.5 MeV]

  1. 22.22 MeV
  2. 28.12 MeV
  3. 16.48 MeV
  4. 12.64 MeV
Ques. 8JEE Main 2024, 27 January (Morning Shift)

In a nuclear fission process, a high mass nuclide (A 236) with binding energy 7.6 MeV/Nucleon dissociated into middle mass nuclides (A 118), having binding energy of 8.6 MeV/Nucleon. The energy released in the process would be MeV.

Ques. 9JEE Main 2024, 27 January (Evening Shift)

The atomic mass of 6C12 is 12.000000 u and that of 6C13 is 13.003354 u. The required energy to remove a neutron from 6C13, if mass of neutron is 1.008665 u, will be :

  1. 62.5 MeV
  2. 6.25 MeV
  3. 4.95 MeV
  4. 49.5 MeV

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