Two metallic blocks P and Q having masses in ratio 2:1

Heat (10)

Two metallic blocks P and Q having masses in ratio 2:1 are supplied with the same amount of heat. If their temperatures rise by same degree, compare their specific heat capacities.

Answer

m_P = 2m (say)

m_q = m

∆t_p = ∆t_q = ∆t (say)

Heat given to the block P = Heat given to block Q

m_p x c_p x ∆t = m x c_q x ∆t

2m x c_p x ∆t = m x c_q x ∆t (correct formula with substitution)

C_p / C_q = 1/2

C_p : C_q = 1:2