1.

Two bodies A and B having masses in the ratio of 3 : 1 possess the same kinetic energy. The ratio of their linear momenta is then

Answer» Kinetic energy of body is given by
`E_(K)=(1)/(2) mv^(2)`
and linear momentum P=mv
From Eqs. (i) and (ii), we get
`E_(K)=(m^(2)v^(2))/(2m)=(P^(2))/(2m)`
When `E_(K_(1)=E_(K_(2)`
`implies (P_(1)^(2))/(2m_(1))=(P_(2)^(2))/(2m_(2))" or "(P_(1))/(P_(2))=sqrt((m_(1))/(m_(2)))`
or `(P_(1))/(P_(2))=sqrt((3)/(1))`
`(P_(2))/(P_(1))=(1)/(sqrt3)`


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