Three rods of same cross sectional area are made of same material and form the sides of a right-angled isosceles triangle PQR, right angled at Q. P and Q are maintained at temperature T and 2T, respectively. If the temperature of end R is T', then what is the ratio of T'/T. Assume that only heat conduction takes place.

Explanation

To solve the problem, we need to analyze the heat conduction through the three rods forming the sides of a right-angled isosceles triangle PQR, where P and Q are at temperatures T and 2T, respectively, and we need to find the temperature T' at point R.

### Step-by-Step Solution:

1. **Understanding the Setup**:
- We have three rods forming a right-angled isosceles triangle PQR, with P at temperature T and Q at temperature 2T.
- The rod PQ is vertical, QR is horizontal, and PR is the hypotenuse.

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