A particle executes SHM on a straight line. At two positions, its velocities are u and v while accelerations are α and ß respectively [ß > α > 0] . The distance between these two positions is

# A particle executes SHM on a straight line. At two positions, its velocities are u and v while accelerations are α and ß respectively [ß > α > 0] . The distance between these two positions is

1. A

$\frac{{\mathrm{u}}^{2}+{\mathrm{v}}^{2}}{\mathrm{\alpha }+\mathrm{\beta }}$

2. B

$\frac{{\mathrm{u}}^{2}-{\mathrm{v}}^{2}}{\mathrm{\alpha }+\mathrm{\beta }}$

3. C

$\frac{{\mathrm{u}}^{2}-{\mathrm{v}}^{2}}{\mathrm{\beta }-\mathrm{\alpha }}$

4. D

$\frac{{\mathrm{u}}^{2}+{\mathrm{v}}^{2}}{\mathrm{\beta }-\mathrm{\alpha }}$

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