A) 90 m/s
B) 100 m/s
C) 45 m/s
D) 55 m/s
Correct Answer: A
Solution :
Key Idea: For a particle, change in potential energy = gain in kinetic energy. Since the charge on particles is same, hence they will be repelled from each other. Therefore, change in potential energy will be equal to the gain in kinetic energy. Change in potential energy \[G=\frac{F{{r}^{2}}}{{{m}_{1}}{{m}_{2}}}\] \[{{m}_{1}}\] \[{{m}_{2}}\] Kinetic energy gain is \[\therefore \] \[\text{=}\frac{\text{dimensions}\,\text{of}\,\text{force }\!\!\times\!\!\text{ (length}{{\text{)}}^{\text{2}}}}{{{\text{(dimensions}\,\,\text{of}\,\text{mass)}}^{\text{2}}}}\] \[=\frac{[ML{{T}^{-2}}]{{[L]}^{2}}}{{{[M]}^{2}}}=[{{M}^{-1}}{{L}^{3}}{{T}^{-2}}]\]You need to login to perform this action.
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