Test Index

Work, Power and Energy

© examsnet.com
Question : 10 of 30
Marks: +1, -0
A body is moving unidirectionally under the influence of a source of constant power. Its displacement in time t is proportional to
(a) t1/2t^{1/2}
(b) tt
(c) t3/2t^{3/2}
(d)tt
Solution:  
As power, P = force × velocity
∴ P=[MLT−2][LT−1]=[ML2T−3]P = [MLT^{-2}][LT^{-1}] = [ML^{2} T^{-3}]
As P=[ML2T−3]=P = [ML^{2} T^{-3}] = constant
∴L2T−3=\therefore L^{2} T^{-3} = constant or L2T3=constant\frac{L^{2}}{T^{3}} = \text{constant}
∴L2∝T3\therefore L^{2} \propto T^{3} or L∝T3/2L \propto T^{3/2}
© examsnet.com
Go to Question:
Prev Question
Next Question