The ratio of the densities of the two bodies is 3: 4 and the ratio of specific heats is 4: 3 . The ratio of their thermal capacities for unit volume is

Question

The ratio of the densities of the two bodies is 3: 4 and the ratio of specific heats is 4: 3 . The ratio of their thermal capacities for unit volume is (A) 9: 16 (B) 2: 1 (C) 16: 9 (D) 1: 1

Tardigrade Admin · Accepted Answer

Thermal capacities per unit volume =(m ⋅ s/V) ((m1 s1/V1)) ÷((m2 s2/V2)) =(ρ1 s1/ρ2 s2)=((3/4)) ⋅((4/3))=1

Q. The ratio of the densities of the two bodies is 3: 4 and the ratio of specific heats is $4 : 3.$ The ratio of their thermal capacities for unit volume is

9: 16

2: 1

16: 9

1: 1

Thermal capacities per unit volume $= \frac{m \cdot s}{V}$
$(\frac{m _{1} s _{1}}{V _{1}}) \div (\frac{m _{2} s _{2}}{V _{2}})$
$= \frac{ρ _{1} s _{1}}{ρ _{2} s _{2}} = (\frac{3}{4}) \cdot (\frac{4}{3}) = 1$

Q. The ratio of the densities of the two bodies is 3: 4 and the ratio of specific heats is 4:3. The ratio of their thermal capacities for unit volume is