A copper and a tungsten plate having a thickness `sigma=2`mm eacha re riveted together so that at `0^@`C They form a flat bimetallic plate. Find the average radius of cuvature of this plate at `t=200^@C`. The coefficients of linear expansion for copper and tungsten are
`alpha_(cu)=1.7xx 10^-5//K` and `alpha_(W)=0.4xx10^(-5)//K`, respectively.

Explanation

To solve the problem of finding the average radius of curvature of a bimetallic plate made of copper and tungsten at a temperature of 200°C, we will follow these steps:

### Step 1: Understand the Problem
We have two plates, copper and tungsten, riveted together. At 0°C, they are flat, and we need to determine the radius of curvature when the temperature is raised to 200°C. The coefficients of linear expansion for copper and tungsten are given.

### Step 2: Identify the Given Data
- Thickness of each plate, \( \sigma = 2 \, \text{mm} = 0.002 \, \text{m} \)
- Coefficient of linear expansion for copper, \( \alpha_{\text{Cu}} = 1.7 \times 10^{-5} \, \text{K}^{-1} \)
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