Q 1 :    

A nucleus with mass number 240 breaks into two fragments each of mass number 120, the binding energy per nucleon of unfragmented nuclei is 7.6 MeV while that of fragments is 8.5 MeV. The total gain in the Binding Energy in the process is             [2021]

  • 216 MeV

     

  • 0.9 MeV

     

  • 9.4 MeV 

     

  • 804 MeV

     

(1)

Let the parent nucleus be X which breaks into two fragments Y

X2402120Y

Binding energy of XB.E.X=240×7.6=1824 MeV

Binding energy of YB.E.Y=120×8.5=1020 MeV

Energy released, E=2(B.E.)Y-(B.E.)X

           =2×(1020)-1824=216 MeV  



Q 2 :    

The energy required to break one bond in DNA is 10-20J. This value in eV is nearly            [2020]

  • 6

     

  • 0.6

     

  • 0.06 

     

  • 0.006

     

(3)

Given: energy, E=10-20J

Now, 1J=11.6×10-19 eV

   E=10-201.6×10-19eV=0.0625eV0.06eV



Q 3 :    

The energy equivalent of 0.5 g of a substance is              [2020]

  • 4.5×1016J

     

  • 4.5×1013J

     

  • 1.5×1013J

     

  • 0.5×1013J

     

(2)

Given mass m=0.5g=0.5×10-3kg

According to Einstein mass-energy equivalence,

       E=mc2=0.5×10-3×(3×108)2=4.5×1013J