TΔT=21lΔl=21αΔθ
412=θ−2040−θ
3θ−60=40−θ
4θ=100
θ=25oC
Also,ΔT=21αΔθ×T
4=21α5×86400
5×864008=α
α=1.85×10−5 /oC
A pendulum clock loses 12 s a day if the temperature is 40o C and gains 4s a day if the temperature is 20o C. The temperature at which the clock will show correct time, and the co-efficient of linear expansion (α) of the metal of the pendulum shaft are respectively:
Held on 3 Apr 2016 · Verified 6 Jul 2026.
30oC;α=1.85×10−3 / oC
55oC;α=1.85×10−2 / oC
25oC;α=1.85×10−5 / oC
60oC;α=1.85×10−4 / oC
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