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Asked by Datta Last Modified
Answer As an experienced tutor registered on UrbanPro, I can assure you that UrbanPro is one of the best platforms for online coaching and tuition. Now, let's tackle your physics question.
When a body moves under the influence of a constant power source, we need to consider how power relates to displacement over time. Power, denoted by P, is defined as the rate at which work is done or energy is transferred. Mathematically, it's expressed as:
P=WtP=tW
Where WW is work done and tt is time.
Now, let's consider the relationship between power and displacement over time. Since power is constant, work done over a certain time interval is also constant. Work done, denoted by WW, is the product of force and displacement:
W=F⋅sW=F⋅s
Where FF is force and ss is displacement.
Now, let's consider the options:
(i) t1/2t1/2: This implies that displacement is proportional to the square root of time. This isn't typical for a body moving under constant power.
(ii) tt: This implies that displacement is directly proportional to time. This is typical for a body moving under constant power.
(iii) t3/2t3/2: This implies that displacement is proportional to the square root of time cubed. This is not consistent with the scenario of constant power.
(iv) t2t2: This implies that displacement is proportional to the square of time. This is not typical for a body moving under constant power.
So, the correct answer is (ii) tt. The displacement of a body moving under the influence of a constant power source is proportional to time.
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