Question

If same amount of heat is supplied to two identical spheres (one is hollow and other is solid), then: (a) the expansion in hollow is greater than the solid (b) the expansion in hollow is same as that in solid (c) the expansion in hollow is lesser than the solid (d) the temperature of both must be same to each other.

Name: Problem 10, Chapter 15: Arihant AIEEE Physics
Uploaded: 2021-09-19T14:39:17-08:00
Duration: 1 min 24 s
Channel: Ajay Singhal
Description: If same amount of heat is supplied to two identical spheres (one is hollow and other is solid), then: (a) the expansion in hollow is greater than the solid (b) the expansion in hollow is same as that in solid (c) the expansion in hollow is lesser than the solid (d) the temperature of both must be same to each other.

   If same amount of heat is supplied to two identical spheres (one is hollow and other is solid), then:
(a) the expansion in hollow is greater than the solid
(b) the expansion in hollow is same as that in solid
(c) the expansion in hollow is lesser than the solid
(d) the temperature of both must be same to each other.

Arihant AIEEE Physics

D.B. Singh 2006 Edition

Chapter 15, Problem 10

Instant Answer

Solved by Expert Ajay Singhal

09/19/2021

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Step 1: We are given two identical spheres, one hollow and one solid, and the same amount of heat is supplied to both. Show more…

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If same amount of heat is supplied to two identical spheres (one is hollow and other is solid), then: (a) the expansion in hollow is greater than the solid (b) the expansion in hollow is same as that in solid (c) the expansion in hollow is lesser than the solid (d) the temperature of both must be same to each other.

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Key Concepts

Specific Heat Capacity and Thermal Mass

This concept involves the idea that the amount of heat required to raise the temperature of an object depends on its mass and material properties (Q = mc?T). For objects of identical dimensions but different masses, such as a hollow sphere versus a solid sphere, the one with less mass has a smaller thermal mass, resulting in a higher temperature increase for the same quantity of added heat.

Thermal Expansion

Thermal expansion refers to the tendency of materials to change in dimensions when they experience a temperature change. It is characterized by the material's expansion coefficient, and the change in dimensions is directly proportional to the temperature change. In cases where the temperature increase differs due to different thermal masses, the object with the greater temperature rise will exhibit greater expansion.

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