If the Q value of a nuclear reaction where a nucleus with mass number 230 initially at rest emits an α particle is 6.5MeV , the kinetic energy of the α particle is (x/100)MeV . Find x .

Question

If the Q value of a nuclear reaction where a nucleus with mass number 230 initially at rest emits an α particle is 6.5MeV , the kinetic energy of the α particle is (x/100)MeV . Find x . (A)  (B)  (C)  (D)

Tardigrade Admin · Accepted Answer

Kα =((. A - 4 .)/A)Q Here, A=230,Q=6.5MeV Kα =((230 - 4/230))× 6.5MeV =((226/230))× 6.5MeV =(639/100)MeV

Q. If the $Q$ value of a nuclear reaction where a nucleus with mass number $230$ initially at rest emits an $α$ particle is $6.5 M e V$ , the kinetic energy of the $α$ particle is $\frac{x}{100} M e V$ . Find $x$ .

$K_{α} = \frac{( A - 4 )}{A} Q$
Here, $A = 230, Q = 6.5 M e V$
$K_{α} = (\frac{230 - 4}{230}) \times 6.5 M e V$
$= (\frac{226}{230}) \times 6.5 M e V$
$= \frac{639}{100} M e V$

Q. If the Q value of a nuclear reaction where a nucleus with mass number 230 initially at rest emits an α particle is 6.5MeV , the kinetic energy of the α particle is 100x​MeV . Find x .

Kα​=A(A−4)​Q Here, A=230,Q=6.5MeV Kα​=(230230−4​)×6.5MeV =(230226​)×6.5MeV =100639​MeV

Q. If the $Q$ value of a nuclear reaction where a nucleus with mass number $230$ initially at rest emits an $α$ particle is $6.5 M e V$ , the kinetic energy of the $α$ particle is $\frac{x}{100} M e V$ . Find $x$ .

$K_{α} = \frac{( A - 4 )}{A} Q$
Here, $A = 230, Q = 6.5 M e V$
$K_{α} = (\frac{230 - 4}{230}) \times 6.5 M e V$
$= (\frac{226}{230}) \times 6.5 M e V$
$= \frac{639}{100} M e V$