Nuclei

Question

If MO is the mass of an oxygen isotope 8O17 Mp and Mn are the masses of a proton and a neutron, respectively, the nuclear binding energy of the isotope is

  • Mc2

  • ( MO - 17Mn ) c2

  • (MO - 8Mp ) c2

  • ( 8 Mp + 9 Mn - MO)

Answer

D.

( 8 Mp + 9 Mn - MO)

Given:- 8O17 ⇒ Mass number of oxygen = 17                

The binding energy is given as

       BE = Δm c2

Where Δm = mass defect

         c = speed of light

      Δm = [ Z Mp + (A - Z ) Mn ] - M

        Z - atomic number = number of protons

      N - neutron number  = number of neutrons

     A - mass number = Z + N

                               = Total number of protons + total number of neutrons

      Δm = [ 8 Mp + ( 17 - 8 )Mn - MO

⇒    BE = ( 8 Mp + 9 Mn - MO ) c2

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