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Q.

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

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a

30°C

b

29°C

c

28°C

d

27°C

answer is B.

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Detailed Solution

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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