For a seconds pendulum caliberated at 20⁰ C, operated at 30⁰C. Find the gain or loss in one day
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◆ Answer-
36.288 s
◆ Explanation-
# Given-
α = 1.2×10^-5 /°C
T1 = 20 °C
T2 = 30 °C
t = 1 week = 604800 s
# Solution-
Change in temperature is
∆T = T2 - T1
∆T = 30 - 20 = 10 °C
Time gained by clock is calculated by formula-
∆t = 1/2 α∆Tt
∆t = 1/2 × 1.2×10^-5 × 10 × 604800
∆t = 36.288 s
Therefore, the clock will gain 36.288 s.
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