Assertion: If a heavy nucleus is split into two medium sized parts, each of new nucleus will have more binding energy per nucleon than original nucleus.
Reason : Joining two light nuclei together to give a single nucleus of medium size means more binding energy per necleon in new nucleus.
Assertion: If a heavy nucleus is split into two medium sized parts, each of new nucleus will have more binding energy per nucleon than original nucleus.
Reason : Joining two light nuclei together to give a single nucleus of medium size means more binding energy per necleon in new nucleus.
Reason : Joining two light nuclei together to give a single nucleus of medium size means more binding energy per necleon in new nucleus.
A
If both, Assertion and Reason are true and the Reason is the correct explanation of the Assertion.
B
If both, Assertion and Reason are true but Reason is not a correct explanation of the Assertion.
C
If Assertion is true but the Reason is false.
D
If both Assertion and Reason are false.
Text Solution
AI Generated Solution
The correct Answer is:
To solve the given assertion and reason question, we can break it down into a step-by-step analysis:
### Step 1: Understand the Assertion
The assertion states that when a heavy nucleus is split into two medium-sized nuclei, each of the new nuclei will have more binding energy per nucleon than the original nucleus.
### Step 2: Define Binding Energy
Binding energy is the energy required to disassemble a nucleus into its constituent protons and neutrons. The binding energy per nucleon is a measure of the stability of a nucleus; higher binding energy per nucleon indicates a more stable nucleus.
### Step 3: Analyze the Process of Nuclear Fission
In nuclear fission, a heavy nucleus splits into two smaller nuclei. The process releases energy because the binding energy per nucleon of the resulting smaller nuclei is greater than that of the original heavy nucleus. This is due to the fact that as nucleons come together to form a nucleus, they are held together by the strong nuclear force, which is more effective in medium-sized nuclei.
### Step 4: Understand the Reason
The reason states that when two light nuclei fuse to form a single medium-sized nucleus, the resulting nucleus also has more binding energy per nucleon than the original light nuclei. This is a principle of nuclear fusion, where the binding energy per nucleon increases as lighter nuclei combine to form a heavier nucleus.
### Step 5: Conclusion
Both the assertion and the reason are true. The assertion is correct because splitting a heavy nucleus results in more stable medium-sized nuclei with higher binding energy per nucleon. The reason is also correct because fusion of light nuclei results in a more stable nucleus with higher binding energy per nucleon.
### Final Answer
Both the assertion and the reason are true, and the reason correctly explains the assertion.
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To solve the given assertion and reason question, we can break it down into a step-by-step analysis:
### Step 1: Understand the Assertion
The assertion states that when a heavy nucleus is split into two medium-sized nuclei, each of the new nuclei will have more binding energy per nucleon than the original nucleus.
### Step 2: Define Binding Energy
Binding energy is the energy required to disassemble a nucleus into its constituent protons and neutrons. The binding energy per nucleon is a measure of the stability of a nucleus; higher binding energy per nucleon indicates a more stable nucleus.
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Knowledge Check
Statement-1:In a spontaneous fission reaction a heavy nucleus is split into two medium sized ones, each of the new nuclei will have more binding energy per nucleon than the original nucleus Statement-2:Joining two light nuclei together to give a single nucleus of medium size means more binding energy per nucleon in the new nucleus .
Statement-1:In a spontaneous fission reaction a heavy nucleus is split into two medium sized ones, each of the new nuclei will have more binding energy per nucleon than the original nucleus Statement-2:Joining two light nuclei together to give a single nucleus of medium size means more binding energy per nucleon in the new nucleus .
A
Statement-1 is True , Statement-2 is True ,Statement-2 is a correct explanation for Statement-1
B
Statement-1 is True , Statement-2 is True ,Statement-2 is NOT a correct explanation for Statement-1
C
Statement-1 is True , Statement-2 is False
D
Statement-1 is False, Statement-2 is True
The binding energy per nucleon of nucleus is a measure of its.
The binding energy per nucleon of nucleus is a measure of its.
A
Charge
B
Mass
C
Momentum
D
Stability
The average binding energy per nucleon is maximum for the nucleus
The average binding energy per nucleon is maximum for the nucleus
A
`""_(2)He^(4)`
B
`""_(8)O^(16)`
C
`""_(26)Fe^(36)`
D
`""_(92)U^(238)`
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