Verified Solution • 2025–26 Session moderate

QAIPMT-2007-Ph-2375: NEET 2007 Physics - Class 12 AIPMT-2007-Ph-2375 Solution: A nucleus \(_Z^A X\) has mass represented by M(A Z). If \(M_p\) …

A nucleus ZAX_Z^A X has mass represented by M(A Z). If MpM_p and MnM_n denote the mass of proton and neutron respectively and B.E. the binding energy in MeV then B.E. = [ZMp+(A−Z)Mn−M(AZ)]c2[ZM_p + (A-Z)M_n - M(A Z)]c^2 B.E. = [ZMp+AMp−M(AZ)]c2[ZM_p + AM_p - M(A Z)]c^2 B.E. = M(AZ)−ZMp−(A−Z)MnM(A Z) - ZM_p - (A-Z)M_n B.E. = [M(AZ)−ZMp−(A−Z)Mn]c2[M(A Z) - ZM_p - (A-Z)M_n]c^2

Multiple Choice Options

  • A 1/R 2
  • B R 2
  • C R
  • D 1/R

Step-by-Step Verified Solution

In mass spectrometer, when ions are accelerated through potential V, 1 2 m v 2 = q V ....(1) As the magnetic field curves the path of the ions in a semicircular orbit. _ Bqv = m v 2 R _ v = B q R m .....(2) Now by substituting (ii) in (i), 1 2 m ( B q R m ) 2 = q _ q m = 2 V B 2 R 2 As V and B are constants, _ q m _ 1 R 2

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