Two wires of same mass , having ratio of lengths `1 : 2, density 1 : 3`, and resistivity` 2 : 1`, are connected one by one to the same voltage supply. The rate of heat dissipation in the wire is found to be `10 W`. Find the rate of heat dissipation in the second wire.

Explanation

To solve the problem step by step, we will analyze the given information and apply the relevant formulas.

### Step 1: Understand the given ratios
We have two wires with the following properties:
- Length ratio \( L_1 : L_2 = 1 : 2 \)
- Density ratio \( D_1 : D_2 = 1 : 3 \)
- Resistivity ratio \( \rho_1 : \rho_2 = 2 : 1 \)

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