Question:

The INCORRECT statement is

Updated On: Apr 7, 2025
  • Nuclear density is independent of the mass number A of the nucleus.
  • Average binding energy per nucleon is very high for light nuclei.
  • Nuclear forces are strongest in nature.
  • In a radioactive nucleus, the half-life period is directly proportional to mean life.
  • Beccquerel (Bq) is the SI unit of activity of a radioactive source.
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The Correct Option is B

Approach Solution - 1

The binding energy per nucleon is generally higher for heavier nuclei than for light nuclei. This is because light nuclei like hydrogen or helium have lower binding energies per nucleon compared to heavier nuclei like iron or uranium. As the mass number increases, the binding energy per nucleon also increases, reaching a maximum at iron (Fe). For light nuclei, the average binding energy per nucleon is relatively lower. Thus, the incorrect statement is that the average binding energy per nucleon is very high for light nuclei.

The correct option is (B) : Average binding energy per nucleon is very high for light nuclei.

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Approach Solution -2

Let's analyze each statement:  

✔ Nuclear density is independent of the mass number A: This is correct, since density ≈ constant for all nuclei. 

❌ Average binding energy per nucleon is very high for light nuclei: This is incorrect. Light nuclei like hydrogen, helium have lower binding energy per nucleon. It becomes maximum for medium mass nuclei like iron (Fe). 

✔ Nuclear forces are the strongest in nature: Correct – Strong nuclear force is stronger than all other fundamental forces. 

✔ Half-life is directly proportional to mean life: Correct – The relation is: 
Mean life = 1.44 × Half-life 

✔ Becquerel (Bq) is the SI unit of activity: Correct 

Correct Answer (INCORRECT Statement): Average binding energy per nucleon is very high for light nuclei.

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