Atoms and Nuclei Test

Result

Atoms and Nuclei Test - 92

Score
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Rank
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TIME Taken - -

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Weekly Quiz Competition

Question 1
4 / -1

A radioactive isotope X with a half-life of 1.37 × 10⁹ years decays to Y which is stable. A sample of rock from the moon was found to contain both the elements X and Y which were in the ratio of 1 : 7. The age of the rock is

A
1.96 × 10⁸ years

B
3.85 × 10⁹ yearsq

C
4.11 × 10⁹ years

D
9.59 × 10⁹ years

Solution
Question 2
4 / -1

The half life of radium is 1620 years and its atomic weight is 226 kg per kilomol. The number of atoms that will decay from its 1 g sample per second will be
(Avogadro\'s number N = 6.02 × 10²⁶ atom/kilomol)

A
3.61 × 10¹⁰

B
3.6 × 10¹²

C
3.11 × 10¹⁵

D
31.1 × 10¹⁸

Solution
Question 3
4 / -1

The first excited state of hydrogen atom is 10.2 eV above its ground state. The temperature is needed to excite hydrogen atoms to first excited level, is

A
7.9 × 10⁴ K

B
3.5 × 10⁴ K

C
5.8 × 10⁴ K

D
14 × 10⁴ K

Solution
Question 4
4 / -1

A small quantity of solution containing Na²⁴ radio nuclide of activity 1 microcurie is injected into the blood of a person. A sample of the blood of volume 1 cm³ taken after 5 hours shows an activity of 296 disintegration per minute. What will be the total volume of the blood in the body of the person. Assume that the radioactive solution mixes uniformly in the blood of the person (Take 1 curie = 3.7 × 10¹⁰ disintegration per second and e^–λr = 0.7927; where λ = disintegration constant)

A
5.94 litres

B
2 litres

C
317 litres

D
1 litres

Solution
Question 5
4 / -1

A radioactive sample of U²³⁸ decays to Pb through a process for which half life is 4.5 × 10⁹ years. The ratio of number of nuclei of Pb to U²³⁸ after a time of 1.5 × 10⁹ years (given 2^1/3 = 1.26)

A
0.12

B
0.26

C
1.2

D
0.37

Solution
Question 6
4 / -1

A
2

B
5

C
4

D
None of these

Solution
Question 7
4 / -1

A radioactive nucleus is being produced at a constant rate α per second. Its decay constant is λ. If N₀ are the number of nuclei at time t = 0, then maximum number of nuclei possible are

A

B

C

D

Solution
Question 8
4 / -1

Binding energy per nucleon plot against the mass number for stable nuclei is shown in the figure. Which curve is correct

A
A

B
B

C
C

D
D
Question 9
4 / -1

A radioactive sample consists of two distinct species having equal number of atoms initially. The mean life time of one species is τ and that of the other is 5τ. The decay products in both cases are stable. A plot is made of the total number of radioactive nuclei as a function of time. Which of the following figures best represents the from of this plot

A

B

C

D
Question 10
4 / -1

Radioactive element decays to form a stable nuclide, then rate of decay of reactant (dN/dt) will vary with time (t) as shown in figure

A

B

C

D

Solution