Question

Two masses of $M$ and $4M$ are moving with equal kinetic energy. The ratio of their linear momenta is

• A. $1:8$
• B. $1:4$
• C. $1:2$
• D. $4:1$

Answer 1

The correct option is C $1:2$

Here, m1=M,m2=4Mm1=M,m2=4M
Kinetic energy of a particle of mass mm having linear momentum pp is given by K=p22mK=p22m
as KK is same
∴p1p2=m1m2−−−√=M4M−−−−√=12