A nucleus with mass number 220 initially at rest emits an α particle. If the Q value of the reaction is 5.5 MeV, the kinetic energy of the α particle is

Question

A nucleus with mass number 220 initially at rest emits an α particle. If the Q value of the reaction is 5.5 MeV, the kinetic energy of the α particle is (A) 4.4 MeV (B) 5.4 MeV (C) 5.6 MeV (D) 6.5 MeV

Tardigrade Admin · Accepted Answer

Kα=((A-4)/A) Q Here, A = 220, Q=5.5 MeV Kα=((220-4/220))5.5 MeV =((216/220))5.5 MeV =5.4 MeV

Q. A nucleus with mass number $220$ initially at rest emits an $α$ particle. If the $Q$ value of the reaction is $5.5 M e V$ , the kinetic energy of the $α$ particle is

$4.4 M e V$

$5.4 M e V$

$5.6 M e V$

$6.5 M e V$

$K_{α} = \frac{( A - 4 )}{A} Q$
Here, $A = 220, Q = 5.5 M e V$
$K_{α} = (\frac{220 - 4}{220}) 5.5 M e V$
$= (\frac{216}{220}) 5.5 M e V$
$= 5.4 M e V$

Q. A nucleus with mass number 220 initially at rest emits an α particle. If the Q value of the reaction is 5.5MeV, the kinetic energy of the α particle is

4.4MeV

5.4MeV

5.6MeV

6.5MeV