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Nucleus

Practice Questions:

Question 1: moderate

In the given nuclear reaction A, B, C, D, E represents

1. A = 234, B = 90, C = 234, D = 91, E = β

2. A = 234, B = 90, C = 238, D = 94, E = α

3. A = 238, B = 93, C = 234, D = 91, E = β

4. A = 234, B = 90, C = 234, D = 93, E = α

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Question 2: easy

In the given reaction \[_{Z}X^{A}\longrightarrow _{Z}Y^{A’}+n\alpha+n’\beta\]. The ratio (Z/A) will be equal to.

1. \[\frac{Z+n'+2n}{A-4n}\]

2. \[\frac{Z+n'-2n}{A-4n}\]

3. \[\frac{Z-n'+2n}{A+4n}\]

4. \[\frac{Z+n'-2n}{A+4n}\]

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Question 3: moderate

Starting with a sample of pure \[Cu^{66}\], (7/8) of it decays into Zn in 15 minutes. The corresponding half-life is

1. 10 min

2. 15 min

3. 5 min

4. 7.5 min

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Question 4: moderate

Surface area of \[Al^{27}\] is S0, then surface area of \[Zn^{64}\] is :

1. \[\frac{16}{9}S_{0}\]

2. \[\frac{4}{3}S_{0}\]

3. \[\frac{64}{27}S_{0}\]

4. \[\frac{3}{2}S_{0}\]

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Question 5: moderate

A star initially has \[10^{40}\] deuterons. It produces energy via the processes ;

If the average power radiated by the star is \[10^{16}\] W, the deuteron supply of the star is
exhausted in a time of the order of :

1. \[10^{6}\] s

2. \[10^{8}\] s

3. \[10^{12}\] s

4. \[10^{16}\] s

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Question 6: moderate

A radioactive reaction is \[_{92}U^{238}\to _{82}Pb^{206}\] . How many α and β particles are emitted ?

1. 10α, 6β

2. 4 proton, 8 neutron

3. 6 electron, 8 proton

4. 6β, 8α

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Question 7: difficult

Binding energy per nucleon verses mass number curve for nuclei is shown in the figure. W, X, Y and Z are four nuclei indicated on the curve. The process that would release energy is :

1. Y → 2Z

2. W → X + Z

3. W → 2Y

4. X → Y + Z

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Question 8: moderate

If the energy released in the fission of one nucleus is 200 MeV. Then the number of nuclei required per second in a power plant of 16 kW will be :

1. \[0.5\times 10^{14}\]

2. \[0.5\times 10^{12}\]

3. \[5\times 10^{12}\]

4. \[5\times 10^{14}\]

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Question 9: moderate

Consider the following nuclear reactions and select the correct statements from the options that
follow.

(A) Free neutron has higher mass than proton, therefore reaction I is possible
(B) Free proton has less mass than neutron, therefore reaction II is not possible for the free
proton
(C) Inside a nucleus, both decays (reaction I and II) are possible
(D) Inside a nucleus, reaction I is not possible but reaction II is possible.