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A particle of mass 5 m at rest suddenly breaks on its own into three fragments. Two fragments of mass m each move along mutually perpendicular direction with speed v each. the energy released  during the process is :

a
35mv2
b
53mv2
c
32mv2
d
43mv2

detailed solution

Correct option is D

From conservation of linear momentum.

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A radioactive nucleus initially at rest decays by emitting an electron and neutron at right angles to one another. The momentum of the electron is 3.2 ×10-23 kgm/s and the momentum of neutron is 6.4 x 10-23 kgm/sec. The direction of the recoiling nucleus with that of the electron motion is:

 


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