A uniform metal rod is used as a bar pendulum. If the room temperature rises by , and the coefficient of linear expansion of the metal of the rod is , the period of the pendulum will have a percentage increase of
Step 1: Given information
Coefficient of linear expansion,
Change in temperature,
Step 2: Calculation
We know,
The fractional increment in time with temperature change:
By substituting the values, we get
The percentage change of period be:
Therefore, option D is the correct choice.