JEE Main 20248 AprilMorning Shift
- Exam
- JEE Main
- Year
- 2024
- Date
- 8 April
- Shift
- Morning Shift
- Subject
- Physics
- Chapter
- Work, Power and Energy
JEE Main 2024 · 8 April · Morning Shift · Physics · Work, Power and Energy
A stationary particle breaks into two parts of masses m_A and m_B...
A stationary particle breaks into two parts of masses which move with velocities respectively. The ratio of their kinetic energies is :
Options
- A
- B
- C
- D
Correct answer
A.
Step-by-step solution
Initial momentum is zero.
\begin{aligned} & \text{ Hence }\left|\mathrm{P}_{\mathrm{A}}\right|=\left|\mathrm{P}_{\mathrm{B}}\right| \\ & \Rightarrow \mathrm{m}_{\mathrm{A}} \mathrm{v}_{\mathrm{B}}=\mathrm{m}_{\mathrm{B}} \mathrm{v}_{\mathrm{B}} \\ & \frac{(\mathrm{KE})_{\mathrm{A}}}{(\mathrm{KE})_{\mathrm{B}}}=\frac{\frac{1}{2} \mathrm{ m}_{\mathrm{A}} \mathrm{v}_{\mathrm{A}^2}{\frac{1}{2} \mathrm{ m}_{\mathrm{B}} \mathrm{v}_{\mathrm{B}^2}=\frac{\mathrm{v}_{\mathrm{A}}}{\mathrm{v}_{\mathrm{B}}} \\ & \frac{(\mathrm{KE})_{\mathrm{B}}}{(\mathrm{KE})_{\mathrm{A}}}=\frac{\mathrm{v}_{\mathrm{B}}}{\mathrm{v}_{\mathrm{A}}}\end{aligned}