The resistance of a platinum wire at a point ` 0 ^@ ` C is 5.00 ohm and its resistance at steam point is 5.40 ` Omega `. When the wire is immersed in a hot oil bath, the resistance becomes `5.80 Omega`. Calculate the temperature of the oil bath and temperature coefficient of resistance of platinum.

Explanation

To solve the problem, we need to use the formula for resistance in relation to temperature:

\[ R_T = R_0 (1 + \alpha T) \]

where:
- \( R_T \) is the resistance at temperature \( T \),
- \( R_0 \) is the resistance at 0°C,
- \( \alpha \) is the temperature coefficient of resistance,
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