The resistance of a thin metallic cylinder changes from `4.25 Omega "to" 4.75 Omega` when its temperture is incrased from `10^@C "to 110^@C`. Calculate the resistance of the same object when it is kept at temperature `0^@C` . Also calculate the temperature coefficient of resistance.

Explanation

To solve the problem step by step, we will use the formula for resistance as a function of temperature:

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

where:
- \( R \) 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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