Two different metal bodies A and B of equal mass are heated at a uniform rate under similar conditions. The variation of temperature of the bodies is graphically represented as shown in the figure. The ratio of specific heat capacities is :

Question

Two different metal bodies A and B of equal mass are heated at a uniform rate under similar conditions. The variation of temperature of the bodies is graphically represented as shown in the figure. The ratio of specific heat capacities is : (A) (8/3) (B) (3/8) (C) (3/4) (D) (4/3)

Tardigrade Admin · Accepted Answer

((Δ Q/Δ t))A=((Δ Q/Δ t))B m SA((Δ T/Δ t))A=m SB((Δ T/Δ t))B (SA/SB)=(((Δ T/Δ t))A/((Δ T)Δ t)B) =(90 / 6/120 / 3)=(15/40)=(3/8)

Q. Two different metal bodies $A$ and $B$ of equal mass are heated at a uniform rate under similar conditions. The variation of temperature of the bodies is graphically represented as shown in the figure. The ratio of specific heat capacities is :

$\frac{8}{3}$

$\frac{3}{8}$

$\frac{3}{4}$

$\frac{4}{3}$

$(\frac{Δ Q}{Δ t})_{A} = (\frac{Δ Q}{Δ t})_{B}$
$m S_{A} (\frac{Δ T}{Δ t})_{A} = m S_{B} (\frac{Δ T}{Δ t})_{B}$
$\frac{S _{A}}{S _{B}} = \frac{( \frac{Δ T}{Δ t} ) _{A}}{( \frac{Δ T}{Δ t} ) _{B}}$
$= \frac{90/6}{120/3} = \frac{15}{40} = \frac{3}{8}$

Q. Two different metal bodies A and B of equal mass are heated at a uniform rate under similar conditions. The variation of temperature of the bodies is graphically represented as shown in the figure. The ratio of specific heat capacities is :

38​

83​

43​

34​