Heat and Thermal ExpansionHard
Question
A clock with a metallic pendulum gains 6 seconds each day when the temperature is 20oC and loses 6 second when the temperature is 40oC. Find the cofficient of linear expanion metal.
Options
A.1.4 × 10-5 oC-1
B.1.4 × 10-6 oC-1
C.1.4 × 10-4 oC-1
D.0.4 × 10-6 oC-1
Solution
For simple clock gives correct time at temperature
⇒ T ∝ l1/2 ⇒ 
αᐃθ
Assuming clock gives correct time at temperature
θ0 ⇒
α(θ0 - 20) & 
α(40 - θ0) ⇒ θ0) = 30oC
⇒ α = 1.4 × 10-5 oC-1
⇒ T ∝ l1/2 ⇒ αᐃθAssuming clock gives correct time at temperature
θ0 ⇒
α(θ0 - 20) & α(40 - θ0) ⇒ θ0) = 30oC⇒ α = 1.4 × 10-5 oC-1
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