Question

Two metallic spheres whose radii are in the ratio 2:3
and densities in the ratio 5:6 have the same heat
capacities. The ratio of their specific heats is nearly​

Answer 1

Thermal capacity=mass×specific heat.

Mass=volume×density

For a sphere, volume is directly proportional to its cube of radius.

∴TC∝r

3

.ρ.C

⇒

TC

2

TC

1

=

r

2

3

.ρ

2

.C

2

r

1

3

.ρ

1

.C

1

TC

2

TC

1

=(

2

1

)

3

.(

3

2

).(

4

3

)

TC

2

TC

1

=

16

1