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.

Let mass of block P = m_p and mass of block Q = m_Q

Given,

$\dfrac{m$p}{mQ} = $\dfrac{2}{1}$

Q = m x s x ∆t

Since, heat supplied (∆Q) and rise in temperature (∆t) is same for both block P and Q,

Therefore,

$m$p \times sp \times ∆t = mQ \times sQ \times ∆t \\[0.5em] mp \times sp = mQ \times sQ \\[0.5em] \dfrac{sp}{sQ} = \dfrac{mQ}{mp} = \dfrac{1}{2}

Therefore, s_P : s_Q = 1 : 2