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The value of average density of nucleus is ______ times that of water.

Asked in GUJCET 2013 · Nuclear radius and density

• (1) 2.6×10¹⁹
• (2) 2.3×10¹⁴
• (3) 2.3×10¹⁷
• (4) 2.3×10¹²

Step-by-step solution

Why the other options are wrong

• (1) No route gives 2.6×10¹⁹, and the mantissa cannot change: nuclear matter has ρ≈2.3×10¹⁷ kg m⁻³ and water 10³ kg m⁻³, so the ratio is fixed at 2.3×10¹⁴.
• (3) 2.3×10¹⁷ is the nuclear density itself in kg m⁻³. The question asks how many times the density of water, so it still has to be divided by 10³ kg m⁻³.
• (4) 2.3×10¹² divides by 10⁵ instead of 10³ — the slip of converting 1 g cm⁻³ into 10⁵ kg m⁻³ instead of 10³ kg m⁻³.

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