The expression for binding energy is:
Correct answer: B. EB = [(ZMP + N Mn) - ZMA] C2
- A. EB = fh
- B. EB = [(ZMP + N Mn) - ZMA] C2
- C. EB = ZMP C2 + N Mn ZMA C2
- D. EB = ZMP + N Mn - M C2
Explanation
The correct expression for nuclear binding energy is EB = [(ZMP + N Mn) - ZMA] C2. This equation accounts for the difference between the mass of the individual protons and neutrons and the actual mass of the nucleus, multiplied by the square of the speed of light, which reflects the mass-energy equivalence principle.Option A, EB = fh, pertains to energy quantization in quantum mechanics, not binding energy. Option C misplaces and incorrectly combines terms, leading to a false representation of binding energy. Option D also incorrectly assembles the terms and fails to account for necessary components of the formula.
This question appeared on the ETEA MDCAT 2012 paper, which you can sit online with every answer explained.
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About Composition of Atomic Nuclei
Atomic nuclei contain positively charged protons and electrically neutral neutrons, collectively called nucleons. Questions use atomic number, mass number and nuclear notation to identify isotopes, isobars and isotones, and may connect nuclear composition with nuclear charge, mass defect, binding energy and the stability of the nucleus.
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