Three bodies A, B and C of masses m , m and 3 m respectively are supplied heat at same rate. The change in temperature θ versus time t graph for A, B and C are shown by I, II and III respectively. I

Question

Three bodies A, B and C of masses m , m and 3 ​ m respectively are supplied heat at same rate. The change in temperature θ versus time t graph for A, B and C are shown by I, II and III respectively. If their specific heat capacities are S A ​ , S B ​ and S C ​ respectively then which of the following relation is correct? (Initial temperature of body is 0 ∘ C )

TestHub · Accepted Answer

Heat is supplied at a constant rate P : P = m s d t d θ ​ ⇒ s = m tan α P ​ Slopes of I, II, III are at π /3 , π /4 , π /6 : S A ​ = m tan 6 0 ∘ P ​ = 3 ​ m P ​ S B ​ = m tan 4 5 ∘ P ​ = m P ​ S C ​ = 3 ​ m tan 3 0 ∘ P ​ = m P ​ S B ​ = S C ​ > S A ​

Physics - Heat & Thermo Question with Solution | TestHub

Options:

Doubts & Discussion