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A particle of mass \( m \) is driven by a machine that delivers a constant power \( k \) watts. If the particle starts from rest the force on the particle at time ' \( t \) ' is [AIPMT (Cancelled) 2015]
(a) \( \sqrt{m k} t^{-1 / 2} \)
(b) \( \sqrt{2 m k} t^{-1 / 2} \)
(c) \( \frac{1}{2} \sqrt{m k} t^{-1 / 2} \)
(d) \( \sqrt{\frac{m k}{2}} t^{-1 / 2} \)
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