Specific Heat vs Thermal Capacity – Rankers Physics

Heat Transfer - Conduction and Convection: Practice Problem & Solution

Assertion (A): Specific heat of a body may be greater than its thermal capacity. Reason (R): Mass of a body may be less than unity.  
Both (A) & (R) are true and the (R) is the correct explanation of the (A)
Both (A) & (R) are true but the (R) is not the correct explanation of the (A)
(A) is true but (R) is false
Both (A) and (R) are false

Solution Explained:

To solve this problem, we apply the core principles of Heat Transfer - Conduction and Convection. Understanding the underlying formula is key to arriving at the correct answer below:

Thermal capacity is \(C = mc\), where \(m\) is mass and \(c\) is specific heat. If \(m < 1\) (e.g., in kg), then \(c\) will be numerically greater than \(C\). Thus, (A) is true. (R) states mass can be less than unity, which is true and correctly explains (A).

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