Question

66. Two lead spheres at the same tempe-
rature have radii in the ratio 1:2. What is
the ratio of their heat capacities?
1) 1:8
2) 1:4
3) 8:1
4) 4:1​

Answer 1

Two lead spheres at the same temperature have radii in the ratio 1:2.what is the ratio of their heat capacities

heat capacity is proportional to mass

mass is proportional to volume

volume is proportional to the cube of the radius

heat cap. ratio is ... 1³:2³

SVTP=SVTP

GIVEN TEMPERATURE IS SAME

SVP=SVP

DENSITY IS SAME BECOZ OF SAME MATERIAL

S1V1=S2V2

V=R3

THEREFORE

S1(R1)3=S2(R2)3

S1 (1)= S2(8)

S1/S2=8/1

S1:S2=8:1