1.

A neutron having kinetic energy E_(0) collides with singly ionised He atom at rest and move along initial direction. Which of the following statement(s) is/are true for the above mentioned collision.

Answer»

COLLISION will be perfectly inelastic if `E_(0)=17eV`
Collision will be perfectly inelastic is `E_(0)=8.16eV`
If `E_(0)=` then ploton of wavelength `lamda=500m` is observed just after the collision if `E_(0)=8.16eV`.
Perfectly elastic collision is not possible.

Solution :`mv_(0)=(4m+m)v`
`v=(v_(0))/5`
`1/2mv_(0)^(2)=1/2.(5m).(v_(0)^(2))/25+/_\E`
`1/2 mv_(0)^(2)-1/2 . (v^(2))/25m=/_\E`
`implies 1/2 mv_(0)^(2) {4/5}=/_\E`
`1/2 mv_(0)^(2)=5/4/_\E`
`/_\E=13.6`
`/_\E=13.6{1- 1/6}=3/4/ (13.6)`
`1/2 mv_(0)^(2)=5/4xx13.6 3/5xx13.6`
`=17 eV, 8.16 eV`


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