A particle is projected with velocity $v_{0}$ along $x-$ axis. A damping force is acting on the particle which is proportional to the square of the distance from the origin i.e., $ma =-\alpha x ^{2}.$ The distance at which the particle stops:
A particle is projected with velocity $v_{0}$ along $x-$ axis. A damping force is acting on the particle which is proportional to the square of the distance from the origin i.e., $ma =-\alpha x ^{2}.$ The distance at which the particle stops:
- [JEE MAIN 2021]
- A
$\left(\frac{3 v_{0}^{2}}{2 \alpha}\right)^{\frac{1}{2}}$
- B
$\left(\frac{2 v_{0}}{3 \alpha}\right)^{\frac{1}{3}}$
- C
$\left(\frac{2 v_{0}^{2}}{3 \alpha}\right)^{\frac{1}{2}}$
- D
$\left(\frac{3 v_{0}^{2}}{2 \alpha}\right)^{\frac{1}{3}}$
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