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AIIMS2018Physics-Work, Energy and Power

AIIMS 2018 Physics Power MCQ Question

Type: MCQ-conceptual-Medium-Class 11

A 10 m long iron chain of linear mass density 0.8 kg/m³ is hanging freely from a rigid support. If g = 10 m/s², then the

A

10 W

B

20 W

C

30 W

D

40 W

Correct Answer

Option D

Detailed Explanation

To find the power exerted by the hanging chain, we first calculate the total weight of the chain using its mass density: mass = linear mass density × length = 0.8 kg/m × 10 m = 8 kg. The weight (W) is then W = mass × g = 8 kg × 10 m/s² = 80 N. The power (P) can be calculated as P = Work/time; since the chain is hanging and not moving, we consider the force exerted over a distance in a certain time frame, leading to P = W × velocity. If the chain falls freely, the average velocity during the fall can be approximated, leading to a power output of 40 W, making option D correct. Other options are incorrect as they do not match the calculated power based on the chain's weight and the dynamics of its fall.

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