Heating a pendulum!

A seconds pendulum clock has a steel wire. The clock is calibrated at \( 20 \ ^{\circ}\text{C}\). How much time does the clock lose in 1 week if the temperature is increased to \( 30 \ ^{\circ}\text{C}\)?

Note: Coefficient of linear expansion of steel is \( \alpha = 1.2 \times 10^{-5} \ ^{\circ}\text{C} ^{ -1 } \).

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