The ratio of the specific heat of the two bodies A and B are 1 : 2 and the ratio of the heat given to the body A to body B is 2 : 1. If the masses of both the bodies are the same, then the ratio of the change in temperature of body A to body B is:

CONTENT:

Specific heat:

• It is defined as the amount of heat required to increase the temperature by 1°K for 1 kg of material.

⇒ Q = mC∆t

Where Q(J) = quantity of heat absorbed by a body, m(kg) = mass of the body, ∆t(°K) = Rise in temperature, and C = Specific heat

• S.I unit of specific heat is t is J kg-1 K-1.

CALCULATION:

Given , , and m_A = m_B = m

• The heat given to the body A is given as,

⇒ Q_A = m_AC_A∆t_A

⇒ QA = mCA∆tA     -----(1)

• The heat given to the body B is given as,

⇒ Q_B = m_BC_B∆t_B

⇒ QB = mCB∆tB     -----(2)

By equation 1 and equation 2,

• Hence, option 3 is correct.