Two bodies of masses 𝑚1 and 𝑚2 have equal kinetic energies. If 𝑝1 and 𝑝2 are their respective momentum, then ratio 𝑝1: 𝑝2 is equal to

Question: Two bodies of masses 𝑚1 and 𝑚2 have equal kinetic energies. If 𝑝1 and 𝑝2 are their respective momentum, then ratio 𝑝1: 𝑝2 is equal to

(A) m_{1}:m_{2}

(B) m_{2}:m_{1}

(C) \sqrt{m_{1}}:\sqrt{m_{2}}

(D) m_{1}^{2}:m_{2}^{2}

Answer: Option (C)

Solution:

Two bodies of masses 𝑚1 and 𝑚2 have equal kinetic energies. If 𝑝1 and 𝑝2 are their respective momentum, then ratio 𝑝1: 𝑝2 is equal to
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