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Q.

An  αparticle with K.E. T= 5.3 Mev initiates a nuclear reaction  Be9+2α4C12+0n1  with energy yield Q=+5.7 Mev. Then the K.E. of neutron outgoing at the right angle to the motion direction of the  αparticle will be [initially Be9 is at rest]  68n (in MeV), then n is____

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answer is 8.

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Detailed Solution

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 Tc=Tα3+Tn12T=K.E.=P22mand  Q=Tc+TnTα
Taking components along X and Y-axis of momentum before and after collision
 Pα=Pccosθ
 0=PnPcsinθ  (or)
 Pα2+Pn2=Pc24Tα+Tn=12Tc
 

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