a pendulum clock keeps correct time at 0°C in the coefficient of linear expansion is 'a' then what will be the loss in time per day when the temperature rises by t° C ?
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Answered by
31
WHERE THIS IS LOST IN PER SECOND
THEREFORE IN 1 DAY THERE ARE 86400 SEC
THEREFORE TIME LOST PER DAY IS (1/2)α.t.86400
Answered by
48
T = 2 π √(L/g)
From above fromula
ΔT/T = 0.5 × ΔL/L
= 0.5 × αΔθ ………[∵ α = ΔL/L × 1/Δθ]
= 0.5 at ……[∵ Given that Δθ = t and α = a]
This is loss in time per second
Loss in time per day = 0.5 at × 86400 seconds
= 43200at
∴ Loss in time per day is 43200at seconds
From above fromula
ΔT/T = 0.5 × ΔL/L
= 0.5 × αΔθ ………[∵ α = ΔL/L × 1/Δθ]
= 0.5 at ……[∵ Given that Δθ = t and α = a]
This is loss in time per second
Loss in time per day = 0.5 at × 86400 seconds
= 43200at
∴ Loss in time per day is 43200at seconds
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