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On adding two vectors we get a) A vect...

On adding two vectors we get _____
a) A vector
b) A scalar
c) A number
d) An operation

Text Solution

Verified by Experts

Mass of proton =`1.67xx10^-27`kg
`Let V_P` be the velocity of proton. Given, moment of electron
`=1.4xx10^-26kgm/sec `
and momentum of antineutrino
`=6.4xx10^-27kgm/sec`

a. The electron and the antineutrino are ejected in the same direction.
As the total momentum is conserved the proton shoud be ejected in the opposite direction.
`1.67xx10^-27xxV_P`
`=1.4xx10^-26+6.4xx10^-27`
`=20.4xx10^-27`
`:. V_P=(20.4/1.67)`
`=12.2m/sec` in the opposite direction.
b. the electron and ntineutrino are ejected perpendicular to each other.
Total momentum of electron and antineutrino
`=sqrt((14)^2+(6.4)^2)xx10^-27kgm/s `
`rarr V_P=(15.4xx10^-27kg-m/sec)/(1.67xx10^-27kg)`
`:. V_P=9.2m/s`
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