KnowledgeBoat Logo
|

Physics

Two blocks P and Q of different metals having their masses in the ratio 3 : 2 are given the same amount of heat. Their temperature rise by the same amount. The ratio of their specific heat capacities is :

  1. √3 : √2
  2. 9 : 4
  3. 2 : 3
  4. 3 : 2

Calorimetry

1 Like

Answer

2 : 3

Reason — Let masses of P and Q be mP\text{m}\text{P} and mQ\text{m}\text{Q} and their specific heat capacities cP\text{c}\text{P} and cP\text{c}\text{P} respectively. Let heat given be Q and temperature change is ΔT.

Given,

MPMQ=32\dfrac{\text{M}\text{P}}{\text{M}\text{Q}}=\dfrac{3}{2}

As, Q = McΔT\text{Q = McΔT}

According to question,

MPcPΔT=MQcQΔT\text{M}\text{P}\text{c}\text{P}Δ\text T=\text{M}\text{Q}\text{c}\text{Q}Δ\text T

MPcP=MQcQ\text{M}\text{P}\text{c}\text{P}=\text{M}\text{Q}\text{c}\text{Q}

cPcQ=MQMP=23\dfrac{\text{c}\text{P}}{\text{c}\text{Q}}= \dfrac{\text{M}\text{Q}}{\text{M}\text{P}}=\dfrac{2}{3}

Answered By

1 Like

Related Questions