Physics · Composition and size of nucleus, atomic masses, mass-energy relation, mass defect
If there are nuclear particles in a nucleus of radius then the number of nuclear
If there are \( N \) nuclear particles in a nucleus of radius \( R \) then the number of nuclear particles in radius \( 3 R \) will be
- A. \( N \)
- B. \( 2 N \)
- C. \( 27 N \)
- D. \( \frac{21}{3} N \)
Step-by-step solution
Nuclear density is approximately constant. The number of nuclear particles is proportional to the volume of the nucleus. Volume scales with the cube of the radius, so if radius increases from R to 3R, the volume increases by a factor of 3^3 = 27. Hence the number of nuclear particles becomes 27N.
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