JEE Mains · Physics · STD 11 - 5. work,energy,power and collision
A body of mass \(8\,kg\) and another of mass \(2\, kg\) are moving with equal kinetic energy. The ratio of their respective momenta will be.
- A \(1:1\)
- B \(2:1\)
- C \(1:4\)
- D \(4:1\)
Answer & Solution
Correct Answer
(B) \(2:1\)
Step-by-step Solution
Detailed explanation
\(K E=\frac{ P ^{2}}{2 m }\) \(K _{1}=\frac{ P _{1}^{2}}{2(8)} ; K _{2}=\frac{ P _{2}{ }^{2}}{2(2)}\) \(K _{1}= K _{2}\) So, \(4 P _{2}^{2}= P _{1}^{2}\) \(\frac{ P _{1}}{ P _{2}}=2\)
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