Q.

A proton, within a nucleus decays into a neutron during a process called β+ decay which occurs is some unstable nuclei. This process is represented by the equation

 ZAXZ 1AY+e++Ve

Let m( ZAX) represent the mass of an atom of  ZAX, and c represent the velocity of light in vaccum. Assume that ve  is massless. The Q value of the process is given by

 

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a

[m(ZAX)m(z1AY)2me+]c2

b

[m( ZAX)m(z1AY)]c2 

c

[m(ZAX)m(z1AY)me+]c2

d

 [m(ZAX)m(z1AY)+me+]c2

answer is B.

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Detailed Solution

Q=c2[mnum( ZAX)mnum(Z1AY)me+] 

By definition.

Putting,

mnuc( ZAX)=m( ZAX)Zme+

and similarly for Z1AY,

we get the final result.

[m(ZAX)m(z1AY)]c2

 

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A proton, within a nucleus decays into a neutron during a process called β+ decay which occurs is some unstable nuclei. This process is represented by the equation ZAX→Z− 1AY+e++VeLet m( ZAX) represent the mass of an atom of  ZAX, and c represent the velocity of light in vaccum. Assume that ve  is massless. The Q value of the process is given by