Question

The radii of two copper spheres are in the ratio 1 : 3 and their temperatures are in the ratio 9 : 1. The ratio of heat content in them will be: 

Options

• 1 : 4

• 2 : 1

• 4 : 3

• 1 : 3 

Answer 1

1 : 3 

Explanation:

Q = mcθ = `4/3π"R"^3ρcθ`

∴ Q ∝ R³θ

∴ `"Q"_1/"Q"_2 = ("R"_1/"R"_2)^3 xx (θ_1/θ_2)`

= `(1/3)^3 xx (9/1)`

= `1/3`