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mario62
2 months ago
14

Rod A and rod B are cylindrical rods made of the same metal. amd they differ only in size. Rod B has double the length and doubl

e the width of rod a. In an experiment, rod A is found to comduct heat at a rate of 25 W between a hot reservoir and a cold reservoir. At what width of rod A. rate will rod B conduct heat between the same two reservoirs?
A.12.5 W
B.100 W
C. 25 W
D.50 W
E. 200 W
Physics
2 answers:
Sav [3.1K]2 months ago
7 0

Answer

A- 12.5 W

Rod B would conduct heat at a rate of 12.5 W under the same conditions as rod A.

Explanation:

You need to refer to the basic equation for heat transfer:

R= K x A x ΔT/ d

R: denotes the rate of heat transfer;

K: the thermal conductivity;

A: the contact area between the rod and the reservoir;

ΔT: the temperature difference between the hot and cold reservoirs;

d: the thickness of the material through which heat travels.

R= 25W for Rod A.

K and ΔT remain constant for both rods.

For Rod A: A= π x r²; thus for Rod B, A= π x (2 x r)² = 4 x A, since Rod B's thickness is doubled affecting the radius.

d for Rod B is 2 x d (of Rod A) due to the length of the rod.

Observation: Given that the rods are cylindrical, the length is treated as thickness in the formula, while the actual thickness is used for area calculations, leading to different considerations for square-shaped objects.

Using the derived details in the equation gives us:

25= K x 4 x A x ΔT / 2d

25/2 = K x A  x ΔT / d

12.5= K x A x ΔT / d

The rate for Rod B: R = 12.5W

Keith_Richards [3.2K]2 months ago
6 0

Answer:

The answer I think fits this question is D.

Explanation:

I hope this is helpful and accurate.

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Answer:

Statements 4, 6 & 7 are incorrect.

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p=m.(-v)

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An air hockey game has a puck of mass 30 grams and a diameter of 100 mm. The air film under the puck is 0.1 mm thick. Calculate
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Explanation:

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time needed for the puck to reduce its speed by 10%

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shear stress acting on the surface is expressed as

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