A simple pendulum made of a bob of mass m and a metallic wire of a negligible mass has a time period of 2   s at T = 0 ° 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…

Question

A simple pendulum made of a bob of mass m and a metallic wire of a negligible mass has a time period of 2 &#160; s at T = 0 &#176; 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 S . If the coefficient of linear expansion of metal is &#945; , then the value of S is

Aicharya · Accepted Answer

&#9651; T T = 1 2 &#9651; l l = 1 2 &#945; &#8710; &#952; &#8658;&#8710; T = 1 2 T &#945; &#8710; &#952; &#8710; T &#8710; &#952; = T 2 &#945; But, T = 2 s &#8710; T &#8710; &#952; = &#945;

A simple pendulum made of a bob of mass m and a metallic wire of a negligible mass has a time period of 2…

Solution