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Nuclei · Question 44

AIPMT 2008MCQMedium📈 Topic in 25% papers+4−1
1

Two radioactive materials X1 and X2 have decay constants 5 and respectively. If initially they have the same number of nuclei, then the ratio of the number of nuclei of X1 to that of X2 will be 1e after a time

  1. 14
  2. e
  3. 12

Answer

(1) 14

Solution

N1 = N0e-5 t and N2 = N0e- t

⇒ N1N2 = e-4 t

Given N1N2 = 1e = e-1

⇒ 4 t = 1

∴ t = 14

Answer: (1)

Out of syllabusAIPMT 2008

Keep practising — Nuclei

2

A nucleus AZX has mass represented by M(A, Z). If Mp and Mn denote the mass of proton and neutron respectively and B.E. the binding energy in MeV, then

  1. B.E. = [ZMp + (A - Z)Mn - M(A, Z)]c2
  2. B.E. = [ZMp + AMp - M(A, Z)]c2
  3. B.E. = M(A, Z) - ZMp - (A - Z)Mn
  4. B.E. = [M(A, Z) - ZMp - (A - Z)Mn]c2
AIPMT 2007
3

Two radioactive substances A and B have decay constants 5 and respectively. At t = 0 they have the same number of nuclei. The ratio of number of nuclei of A to those of B will be ( 1e )2 after a time interval

  1. 4
  2. 2
  3. 12
  4. 14
Out of syllabusAIPMT 2007
4

In a radioactive decay process, the negatively charged emitted -particles are

  1. the electrons produced as a result of the decay of neutrons inside the nucleus
  2. the electrons produced as a result of collisions between atoms
  3. the electrons orbiting around the nucleus
  4. the electrons present inside the nucleus
Out of syllabusAIPMT 2007
5

If the nucleus 2713Al has a nuclear radius of about 3.6 fm, then 12552Te would have its radius approximately as

  1. 9.6 fm
  2. 12.0 fm
  3. 4.8 fm
  4. 6.0 fm
Out of syllabusAIPMT 2007
6

The binding energy of deuteron is 2.2 MeV and that of 42He is 28 MeV. If two deuterons are fused to form one 42He then the energy released is

  1. 30.2 MeV
  2. 25.8 MeV
  3. 23.6 MeV
  4. 19.2 MeV
AIPMT 2006
7

In a radioactive material the activity at time t1 is R1 and at a later time t2, it is R2. If the decay constant of the material is , then

  1. R1 = R2
  2. R1 = R2 e- (t1 - t2)
  3. R1 = R2 e (t1 - t2)
  4. R1 = R2(t2/t1).
Out of syllabusAIPMT 2006
8

The radius of germanium (Ge) nuclide is measured to be twice the radius of 94Be. The number of nucleons in Ge are

  1. 72
  2. 73
  3. 74
  4. 75
Out of syllabusAIPMT 2006
9

In the reaction 21H + 31H 42He + 10n, if the binding energies of 21H, 31H and 42He are respectively a, b and c (in MeV), then the energy (in MeV) released in this reaction is

  1. a + b + c
  2. a + b - c
  3. c - a - b
  4. c + a - b
AIPMT 2005
10

In any fission process the ratio mass of fission productsmass of parent nucleus is

  1. equal to 1
  2. greater than 1
  3. less than 1
  4. depends on the mass of the parent nucleus.
AIPMT 2005
11

Fission of nuclei is possible because the binding energy per nucleon in them

  1. increases with mass number at low mass numbers
  2. decreases with mass number at low mass numbers
  3. increases with mass number at high mass numbers
  4. decreases with mass number at high mass numbers.
AIPMT 2005

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