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A sphere, a cube and a thin circular plate, all made of the same material and having the same mass are initially heated to the temperature of 250 degree Celsius. When left in air at room temperature, what will be their response to cooling?
  • a)
    Cube will cool faster than sphere but slower than the circular plate
  • b)
    They will cool at the same rate
  • c)
    Sphere will cool faster
  • d)
    Circular plate will cool at the slower rate
Correct answer is option 'A'. Can you explain this answer?
Verified Answer
A sphere, a cube and a thin circular plate, all made of the same mater...
Q = h A (T – t). Here cooling depends upon the surface area of the body.
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Most Upvoted Answer
A sphere, a cube and a thin circular plate, all made of the same mater...
The correct answer to the given question is option 'A'. Let's understand why.

Explanation:

When an object is heated and then left to cool in air, the rate of cooling depends on several factors such as:

1. Surface area: The greater the surface area, the faster the rate of cooling.

2. Shape: Objects with a larger surface area-to-volume ratio will cool faster.

3. Material: The properties of the material, such as thermal conductivity and specific heat, will affect the rate of cooling.

Now, let's consider the three objects given in the question:

1. Sphere: A sphere has the smallest surface area-to-volume ratio of the three objects. Therefore, it will have the slowest rate of cooling.

2. Cube: A cube has a larger surface area-to-volume ratio than a sphere. Therefore, it will cool faster than a sphere but slower than the circular plate.

3. Circular plate: A circular plate has the largest surface area-to-volume ratio of the three objects. Therefore, it will have the fastest rate of cooling.

Hence, the correct answer is option 'A': Cube will cool faster than sphere but slower than the circular plate.

Conclusion:

In conclusion, the rate of cooling of an object depends on several factors such as surface area, shape and material. In this case, the cube will cool faster than the sphere but slower than the circular plate.
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A sphere, a cube and a thin circular plate, all made of the same material and having the same mass are initially heated to the temperature of 250 degree Celsius. When left in air at room temperature, what will be their response to cooling?a)Cube will cool faster than sphere but slower than the circular plateb)They will cool at the same ratec)Sphere will cool fasterd)Circular plate will cool at the slower rateCorrect answer is option 'A'. Can you explain this answer?
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