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Wave Optics

Question
CBSEENPH12040054

If M (A, Z), MP and Mn denote the masses of the nucleus straight X presubscript straight Z presuperscript straight A  proton and neutron respectively in units of u (1 u = 931.5 MeV/c2) and BE represents its binding energy  in MeV, then


  • M (A,Z) = ZMp + (A-Z)Mn - BE/c2

  • M (A,Z) = ZMp + (A-Z)Mn + BE

  • M (A,Z) = ZMp + (A-Z)Mn - BF

  • M (A,Z) = ZMp + (A-Z)Mn + BE/c2

Solution

A.

M (A,Z) = ZMp + (A-Z)Mn - BE/c2

BE space equals left square bracket NM subscript straight n space plus space ZM subscript straight p space minus space straight M left parenthesis straight A comma straight Z right parenthesis right square bracket space straight c squared
rightwards double arrow space BE over straight c squared space equals space left parenthesis space straight A space minus straight Z right parenthesis straight M subscript straight n space plus space ZM subscript straight P space minus space straight M space left parenthesis straight A comma straight Z right parenthesis
rightwards double arrow space BE over straight c squared space equals space left parenthesis space straight A space minus straight Z right parenthesis straight M subscript straight n space plus space ZM subscript straight P space minus space straight M space left parenthesis straight A comma straight Z right parenthesis
left parenthesis as space straight N space equals space straight A minus straight Z right parenthesis

rightwards double arrow space straight M space left parenthesis straight A comma straight Z right parenthesis space equals space ZM straight p space plus space left parenthesis straight A minus straight Z right parenthesis straight M straight n space minus space BE divided by straight c squared

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