JEE Main2016PhysicsThermal Properties of MatterActual
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 slope S . If the coefficient of linear expansion of metal is α , then the value of S is
Options
- Aα 2
- B2 α
- Cα
- D1 α
Correct answer
C. α
Step-by-step solution
△ T T = 1 2 △ l l = 1 2 α ∆ θ ⇒∆ T = 1 2 T α ∆ θ ∆ T ∆ θ = T 2 α But, T = 2 s ∆ T ∆ θ = α