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A neutron moving with a speed v makes a ...

A neutron moving with a speed `v` makes a head-on collision with a hydrogen in ground state kept at rest which inelastic collision will be take place is (assume that mass of photon is nearly equal to the mass of neutron)

A

10.2 eV

B

16.8 eV

C

12.1 eV

D

20.4 eV

Text Solution

Verified by Experts

The correct Answer is:
D
For inelastic collision (Perfectly)

`mv+m_H(0)=(m+m_H)v_f`
`mv=2mv_f`
`v_f=v/2`
Loss of K.E.=`1/2mv^2-1/2(2m)(v/2)^2 =(mv^2)/4`
Loss of K.E. =`DeltaE=E_2-E_1=-3.4 + 13.6` =10.2 eV
For inelastic collision, Loss of K.E. `ge` 10.2 eV
`1/2(1/2mv^2) ge `10.2 eV
`K.E_"initial" ge `20.4 eV
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