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A solid sphere,a cube and a circular plate all made of the same material and having the same mass are heated to 300 centigrade and are allowed to cool under the same circumstances.Which of them will cool the fastest and slowest?Please explain.

A solid sphere,a cube and a circular plate all made of the same material and having the same mass are heated to 300 centigrade and are allowed to cool under the same circumstances.Which of them will cool the fastest and slowest?Please explain.

Grade:11

4 Answers

Badiuddin askIITians.ismu Expert
147 Points
11 years ago

Dear Jayakany

Here is the concept of exposed area to the atmosphere.

we know that for same volume sphere has minimum surface area,plate has maximum surface area.

so  sphere cool slowest  and plate coo fastest

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rishi raj mishra
24 Points
3 years ago
since we know that sphere has minimum surface area and plate has maximum surface area for same volume.and as per newtons law of cooling heat loss is directly propotional to exposed area.so here Cube will be cooled faster than sphere but slower than circular plate means 1.circular plate 2. cube 3. sphere
Rebanta Raha
13 Points
3 years ago
We know, the speed of cooling down is directly proportional to the exposed area. In this case, plate has greatest exposed area and the sphere has the lowest exposed area. And the cube is in the middle of these 2 . So, first, the plate will cool down, then the cube, and lastly, the sphere will cool down.
Yash Chourasiya
askIITians Faculty 256 Points
one year ago
Dear Student

Please see the solution in the attachment.
643-2476_564-623_heat 2.jpg

I hope this answer will help you.
Thanks & Regards
Yash Chourasiya

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