Question

# A 4kg mass and a 1kg mass are moving with equal kinetic energies.The ratio of their linear momenta is______

A
1 : 2
B
2 : 1
C
1 : 4
D
4 : 1

Solution

## The correct option is B 2 : 1kinetic energy is given by $$K=\frac{1}{2}mv^2$$and linear momentum is given by $$P=mv$$so$$P=\sqrt{2mK}$$then for two bodies if $$K_1:K_2=1:1$$ then $$P_1:P_2=\sqrt{m_1}:\sqrt{m_2}$$so for given question $$P_1:P_2=\sqrt4:\sqrt1 =2:1$$so option B is correct.Physics

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