Atoms and Nuclei Test

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Atoms and Nuclei Test - 8

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Weekly Quiz Competition

Question 1
4 / -1

A nucleus decays by β⁺ – emission followed by a γ – emission. If the atomic and mass numbers of the parent nucleus are Z and A respectively, the corresponding numbers for the daughter nucleus are respectively

A
Z – 1 and A – 1

B
Z + 1 and A

C
Z – 1 and A

D
Z + 1 and A – 1
Question 2
4 / -1

If the binding energies of a deuteron and an α–particle are 1.125 MeV and 7.2 MeV, respectively, then the more stable of the two is

A
deuteron

B
α – particles

C
Both (1) and (2)

D
sometimes deuteron and sometimes α – particle
Question 3
4 / -1

The particle A is converted into C via following reaction,
A → B + ₂ He⁴
B → C + 2e^-
Then,

A
A and C are isobars

B
A and C are isotopes

C
A and B are isobars

D
A and B are isotopes
Question 4
4 / -1

The fraction of atoms of radioactive element that decays in 6 days is 7/8. The fraction that decays in 10 days will be

A
77/80

B
71/80

C
31/32

D
15/16
Question 5
4 / -1

The binding energy per nucleon in a heavy nucleus is of the order of

A
8 MeV

B
7 MeV

C
5 MeV

D
2 MeV
Question 6
4 / -1

A
7.57 MeV

B
8.36 MeV

C
9.12 MeV

D
9.56 MeV
Question 7
4 / -1

1 curie represents

A
1disintegration per second

B
10⁶ disintegration per second

C
3.7 × 10¹⁰ disintegration per second

D
3. 7 ×10⁷ disintegration per second
Question 8
4 / -1

The radioactivity of a sample is I₁ at a time t₁ and I₂ at a t₂. If the half - life of the sample is t_1/2, then the number of nuclei that have disintegrated in the time t₂ – t₁ is proportional to

A
I₁t₂ – I₂t₁

B
I₁ – I₁

C

D
(I₁ – I₂)t_1/2
Question 9
4 / -1

Consider an initially pure 3.4 g sample of ⁶⁷Ga, an isotope that has a half – life of 78h. What is its initial decay rate?

A
8.00 × 10⁶ s^-1

B
6.27 × 10⁶ s^-1

C
7.53 × 10⁶ s^-1

D
8.53 × 10¹⁵ s^-1
Question 10
4 / -1

80 kg of a radioactive material reduces to 10 kg in 1 h. The decay constant of the material is

A
5.8 × 10^-4 s^-1

B
1.16 × 10^-3 s^-1

C
2.32 × 10^-3 s^-1

D
4.64 × 10^-3 s^-1

Solution

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Atoms and Nuclei Test - 8

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Atoms and Nuclei Test - 8

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Question 1

Z – 1 and A – 1

Z + 1 and A

Z – 1 and A

Z + 1 and A – 1

Question 2

deuteron

α – particles

Both (1) and (2)

sometimes deuteron and sometimes α – particle

Question 3

A and C are isobars

A and C are isotopes

A and B are isobars

A and B are isotopes

Question 4

77/80

71/80

31/32

15/16

Question 5

8 MeV

7 MeV

5 MeV

2 MeV

Question 6

7.57 MeV

8.36 MeV

9.12 MeV

9.56 MeV

Question 7

1disintegration per second

106 disintegration per second

3.7 × 1010 disintegration per second

3. 7 ×107 disintegration per second

Question 8

I1t2 – I2t1

I1 – I1

(I1 – I2)t1/2

Question 9

8.00 × 106 s-1

6.27 × 106 s-1

7.53 × 106 s-1

8.53 × 1015 s-1

Question 10

5.8 × 10-4 s-1

1.16 × 10-3 s-1

2.32 × 10-3 s-1

4.64 × 10-3 s-1

Solution

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10⁶ disintegration per second

3.7 × 10¹⁰ disintegration per second

3. 7 ×10⁷ disintegration per second

I₁t₂ – I₂t₁

I₁ – I₁

(I₁ – I₂)t_1/2

8.00 × 10⁶ s^-1

6.27 × 10⁶ s^-1

7.53 × 10⁶ s^-1

8.53 × 10¹⁵ s^-1

5.8 × 10^-4 s^-1

1.16 × 10^-3 s^-1

2.32 × 10^-3 s^-1

4.64 × 10^-3 s^-1