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Nuclei · Question 11

NEET (UG) 2022 (Phase 2)MCQMedium📈 Topic in 25% papers+4−1
1

At any instant, two elements X1 and X2 have same number of radioactive atoms. If the decay constant of X1 and X2 are 10 and respectively, then the time when the ratio of their atoms becomes 1e respectively will be :

  1. 15
  2. 111
  3. 19
  4. 16

Answer

(3) 19

Solution

N1 = N0 e-10 t and N2 = N0 e- t

N1N2 = e-9 t = 1e

9 t = 1

t = 19

Answer: (3)

Out of syllabusNEET (UG) 2022 (Phase 2)

Keep practising — Nuclei

2

A nucleus with mass number 240 breaks into two fragments each of mass number 120, the binding energy per nucleon of unfragmented nuclei is 7.6 MeV while that of fragments is 8.5 MeV. The total gain in the Binding Energy in the process is :

  1. 216 MeV
  2. 0.9 MeV
  3. 9.4 MeV
  4. 804 MeV
NEET (UG) 2021
3

The half life of a radioactive nuclide is 100 hours. The fraction of original activity that will remain after 150 hours would be :

  1. 23 2
  2. 12
  3. 12 2
  4. 23
Out of syllabusNEET (UG) 2021
4

A radioactive nucleus ZAX Z-1B Z-3C Z-2D, where Z is the atomic number of element X. The possible decay particles in the sequence are :

  1. -, , +
  2. , -, +
  3. , +, -
  4. +, , -
Out of syllabusNEET (UG) 2021
5

The energy equivalent of 0.5 g of a substance is :

  1. 4.5 1013 J
  2. 1.5 1013 J
  3. 0.5 1013 J
  4. 4.5 1016 J
NEET (UG) 2020
6

When a uranium isotope 23592U is bombarded with a neutron, it generates 8936Kr, three neutrons and :

  1. 9140Zr
  2. 10136Kr
  3. 10336Kr
  4. 14456Ba
Out of syllabusNEET (UG) 2020
7

For a radioactive material, half-life is 10 minutes. If initially there are 600 number of nuclei, the time taken (in minutes) for the disintegration of 450 nuclei is

  1. 20
  2. 10
  3. 30
  4. 15
Out of syllabusNEET 2018
8

Radioactive material 'A' has decay constant '8 ' and material 'B' has decay constant ' '. Initially they have same number of nuclei. After what time, the ratio of number of nuclei of material 'B' to that of 'A' will be e ?

  1. 17
  2. 18
  3. 19
  4. 1
Out of syllabusNEET 2017
9

The half-life of a radioactive substance is 30 minutes. The time (in minutes) taken between 40% decay and 85% decay of the same radioactive substance is

  1. 15
  2. 30
  3. 45
  4. 60
Out of syllabusNEET 2016 (Phase 2)
10

A nucleus of uranium decays at rest into nuclei of thorium and helium. Then

  1. The helium nucleus has more momentum than the thorium nucleus.
  2. The helium nucleus has less kinetic energy than the thorium nucleus.
  3. The helium nucleus has more kinetic energy than the thorium nucleus.
  4. The helium nucleus has less momentum than the thorium nucleus.
AIPMT 2015
11

If radius of the 2713Al nucleus is taken to be RAl, then the radius of 12553Te nucleus is nearly

  1. 35 RAl
  2. ( 1353 )1/3 RAl
  3. ( 5313 )1/3 RAl
  4. 53 RAl
Out of syllabusAIPMT 2015 (Cancelled)

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