JEE Main 2016 Physics question
A simple pendulum made of a bob of mass m and a metallic wire of a negligible mass has a time period of s at C. If the temperature of the wire is increased and the corresponding change in its time period is plotted against its temperature, the resulting graph is a line of slope . If the coefficient of linear expansion of metal is , then the value of is
Answer: (3)
Solution
The period is , so a small fractional change in length gives . With thermal expansion , this becomes
Δ T = .
Plotting against $\
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