Verified Solution • 2025–26 Session moderate

QAIPMT-2010-Ph-1974: NEET 2010 Physics - Class 12 AIPMT-2010-Ph-1974 Solution: A thin circular ring of mass M and radius r is rotating about…

A thin circular ring of mass M and radius r is rotating about its axis with constant angular velocity ω\omega. Two objects each of mass m are attached gently to the opposite ends of a diameter of the ring. The ring now rotates with angular velocity given by (M+2m)ω2m\frac{(M+2m)\omega}{2m} 2MωM+2m\frac{2M\omega}{M+2m} (M+2m)ωM\frac{(M+2m)\omega}{M} MωM+2m\frac{M\omega}{M+2m}

Multiple Choice Options

  • A 23.6 MeV
  • B 2.2 MeV
  • C 28.0 MeV
  • D 30.2 MeV

Step-by-Step Verified Solution

1 H 2 + 1 H 2 _ 2 He 4 + _ E The binding energy per nucleon of a deuteron = 1.1 MeV _ Total binding energy = 2 _ 1.1 = 2.2 MeV The binding energy per nucleon of a helium nuclei = 7 MeV _ Total binding energy = 4 _ 7 = 28 MeV Hence, energy released _ E = (28 � 2 _ 2.2) = 23.6 MeV

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