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Physics · WORK, ENERGY AND POWER
हिन्दीA particle moves along the x-axis under the influence of a conservative force whose potential energy is given by \( V(x) = \alpha x^2 - \beta x \), where \( \alpha \) and \( \beta \) are positive constants. The force \( F(x) \) acting on the particle is:
Correct answer · Option 2
\( -2\alpha x + \beta \)
Explanation
For a conservative force, \( F(x) = -\frac{dV}{dx} = -\frac{d}{dx}(\alpha x^2 - \beta x) = -(2\alpha x - \beta) = -2\alpha x + \beta \).
