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pendulum clock goes slow by 10 sec/day when atmospheric temperature is 40°C and goes fast by 8 sec/day when temperature is 20°C. The temperature at which the clock gives correct time is

a
30°C
b
29°C
c
28°C
d
27°C

detailed solution

Correct option is B

The difference in time period of pendulum clock isΔt=12αΔθ⇒Δt∝ΔθLet the clock give correct time at θoC.40−θθ−20=108=54⇒260=9θ ⇒θ=2609=28.9∘C

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