A problem by crazy singh

Level pending

A steel scale measures the length of a copper rod as \( L \) cm when both are at 20 degree Celsius, the calibration temperature for the scale. If the coefficient of linear expansion for steel and copper are \( a \) and \( b \) respectively, what would be the scale reading ( in cm) when both are at 21 degree Celsius.

  1. \( L* \frac{1+b}{1+a} \)

  2. \( L* \frac{b}{a} \)

  3. \( L* \frac{a}{b}\)

  4. \( L \)

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