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In a chain reaction uranium atom gets fi...

In a chain reaction uranium atom gets fissioned forming two different material. The total weight of these put together is

A

More than the weight of parent uranium atom

B

Less than the weight of parent uranium atoms

C

More of less depends upon experimental conditions

D

Neither more nor less

Text Solution

AI Generated Solution

The correct Answer is:
To solve the question regarding the total weight of the materials formed after the fission of a uranium atom, we can follow these steps: ### Step 1: Understand the Process of Nuclear Fission Nuclear fission is the process where a heavy nucleus, such as uranium, splits into two or more lighter nuclei (daughter nuclei) along with the release of energy. **Hint:** Remember that fission involves a heavy nucleus breaking into lighter nuclei. ### Step 2: Identify the Masses Involved Let’s denote: - The mass of the uranium atom before fission as \( m_u \). - The masses of the daughter nuclei formed after fission as \( m_1 \) and \( m_2 \). **Hint:** Assign variables to the masses to keep track of them easily. ### Step 3: Apply the Concept of Mass Defect In nuclear fission, the total mass of the daughter nuclei (\( m_1 + m_2 \)) is always less than the mass of the parent uranium atom (\( m_u \)). This is due to the conversion of some mass into energy, as described by Einstein’s equation \( E = mc^2 \). **Hint:** Recall that mass can be converted into energy, leading to a mass defect. ### Step 4: Establish the Relationship From the above understanding, we can establish the relationship: \[ m_1 + m_2 < m_u \] This indicates that the total weight of the daughter nuclei is less than that of the original uranium atom. **Hint:** Focus on the inequality that shows the relationship between the parent and daughter masses. ### Step 5: Conclusion Thus, the total weight of the materials formed after the fission of a uranium atom is less than the weight of the parent uranium atom. **Final Answer:** The total weight of the daughter nuclei is less than the weight of the parent uranium atom. **Hint:** Always remember that in nuclear reactions, mass is not conserved in the traditional sense due to energy release.
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